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Finding the Fourth Proportional to 514,044.16, 709,353.12 and 287,645.92

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Solution

The fourth proportional to 514,044.16, 709,353.12 and 287,645.92 is: 396,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,044.16 : 709,353.12 = 287,645.92 : x
  2. Step 2: Convert to fraction form
    514,044.16/709,353.12 = 287,645.92/x
  3. Step 3: Cross multiply
    514,044.16x = 709,353.12 × 287,645.92
  4. Step 4: Simplify right side
    514,044.16x = 204,042,530,807.27
  5. Step 5: Solve for x
    x = 204,042,530,807.27/514,044.16
  6. Step 6: Final answer
    x = 396,935.80

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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.