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Finding the Fourth Proportional to 508,609.80, 763,352.10 and 224,737.20

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Solution

The fourth proportional to 508,609.80, 763,352.10 and 224,737.20 is: 337,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,609.80 : 763,352.10 = 224,737.20 : x
  2. Step 2: Convert to fraction form
    508,609.80/763,352.10 = 224,737.20/x
  3. Step 3: Cross multiply
    508,609.80x = 763,352.10 × 224,737.20
  4. Step 4: Simplify right side
    508,609.80x = 171,553,613,568.12
  5. Step 5: Solve for x
    x = 171,553,613,568.12/508,609.80
  6. Step 6: Final answer
    x = 337,299.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.