Solve 1000*(25)*(276-224*248)^2/500^2*476*524=k

$$\frac { 1000 \times ( 25 ) \times ( 276 - 224 \times 248 ) ^ { 2 } } { 500 ^ { 2 } \times 476 \times 524 } = k$$

Solve for k

$$k = \frac{190964761}{155890} = 1224\frac{155401}{155890} \approx 1224.996863173$$

Steps for Solving Linear Equation

Cancel out 2\times 4 in both numerator and denominator.

$$\frac{25\times 125\left(276-224\times 248\right)^{2}}{119\times 262\times 500^{2}}=k$$

Multiply 25 and 125 to get 3125.

$$\frac{3125\left(276-224\times 248\right)^{2}}{119\times 262\times 500^{2}}=k$$

Multiply 224 and 248 to get 55552.

$$\frac{3125\left(276-55552\right)^{2}}{119\times 262\times 500^{2}}=k$$

Subtract 55552 from 276 to get -55276.

$$\frac{3125\left(-55276\right)^{2}}{119\times 262\times 500^{2}}=k$$

Calculate -55276 to the power of 2 and get 3055436176.

$$\frac{3125\times 3055436176}{119\times 262\times 500^{2}}=k$$

Multiply 3125 and 3055436176 to get 9548238050000.

$$\frac{9548238050000}{119\times 262\times 500^{2}}=k$$

Multiply 119 and 262 to get 31178.

$$\frac{9548238050000}{31178\times 500^{2}}=k$$

Calculate 500 to the power of 2 and get 250000.

$$\frac{9548238050000}{31178\times 250000}=k$$

Multiply 31178 and 250000 to get 7794500000.

$$\frac{9548238050000}{7794500000}=k$$

Reduce the fraction \frac{9548238050000}{7794500000} to lowest terms by extracting and canceling out 50000.

$$\frac{190964761}{155890}=k$$

Swap sides so that all variable terms are on the left hand side.

$$k=\frac{190964761}{155890}$$