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Finding the Fourth Proportional to 337,471.85, 506,456.45 and 159,978.17

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Solution

The fourth proportional to 337,471.85, 506,456.45 and 159,978.17 is: 240,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,471.85 : 506,456.45 = 159,978.17 : x
  2. Step 2: Convert to fraction form
    337,471.85/506,456.45 = 159,978.17/x
  3. Step 3: Cross multiply
    337,471.85x = 506,456.45 × 159,978.17
  4. Step 4: Simplify right side
    337,471.85x = 81,021,977,121.86
  5. Step 5: Solve for x
    x = 81,021,977,121.86/337,471.85
  6. Step 6: Final answer
    x = 240,085.14

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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.