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Finding the Fourth Proportional to 586,385.10, 809,298.27 and 371,545.16

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Solution

The fourth proportional to 586,385.10, 809,298.27 and 371,545.16 is: 512,787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,385.10 : 809,298.27 = 371,545.16 : x
  2. Step 2: Convert to fraction form
    586,385.10/809,298.27 = 371,545.16/x
  3. Step 3: Cross multiply
    586,385.10x = 809,298.27 × 371,545.16
  4. Step 4: Simplify right side
    586,385.10x = 300,690,851,168.38
  5. Step 5: Solve for x
    x = 300,690,851,168.38/586,385.10
  6. Step 6: Final answer
    x = 512,787.33

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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.