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Finding the Fourth Proportional to 337,645.91, 506,469.74 and 137,966.30

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Solution

The fourth proportional to 337,645.91, 506,469.74 and 137,966.30 is: 206,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,645.91 : 506,469.74 = 137,966.30 : x
  2. Step 2: Convert to fraction form
    337,645.91/506,469.74 = 137,966.30/x
  3. Step 3: Cross multiply
    337,645.91x = 506,469.74 × 137,966.30
  4. Step 4: Simplify right side
    337,645.91x = 69,875,756,666.10
  5. Step 5: Solve for x
    x = 69,875,756,666.10/337,645.91
  6. Step 6: Final answer
    x = 206,949.81

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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.