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Finding the Fourth Proportional to 516,407.67, 712,664.01 and 286,964.10

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Solution

The fourth proportional to 516,407.67, 712,664.01 and 286,964.10 is: 396,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,407.67 : 712,664.01 = 286,964.10 : x
  2. Step 2: Convert to fraction form
    516,407.67/712,664.01 = 286,964.10/x
  3. Step 3: Cross multiply
    516,407.67x = 712,664.01 × 286,964.10
  4. Step 4: Simplify right side
    516,407.67x = 204,508,986,232.04
  5. Step 5: Solve for x
    x = 204,508,986,232.04/516,407.67
  6. Step 6: Final answer
    x = 396,022.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.