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Finding the Fourth Proportional to 337,640.10, 506,460.15 and 137,829.30

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Solution

The fourth proportional to 337,640.10, 506,460.15 and 137,829.30 is: 206,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,640.10 : 506,460.15 = 137,829.30 : x
  2. Step 2: Convert to fraction form
    337,640.10/506,460.15 = 137,829.30/x
  3. Step 3: Cross multiply
    337,640.10x = 506,460.15 × 137,829.30
  4. Step 4: Simplify right side
    337,640.10x = 69,805,047,952.40
  5. Step 5: Solve for x
    x = 69,805,047,952.40/337,640.10
  6. Step 6: Final answer
    x = 206,743.95

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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.