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Finding the Fourth Proportional to 329,127.85, 493,294.87 and 151,391.17

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Solution

The fourth proportional to 329,127.85, 493,294.87 and 151,391.17 is: 226,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,127.85 : 493,294.87 = 151,391.17 : x
  2. Step 2: Convert to fraction form
    329,127.85/493,294.87 = 151,391.17/x
  3. Step 3: Cross multiply
    329,127.85x = 493,294.87 × 151,391.17
  4. Step 4: Simplify right side
    329,127.85x = 74,680,487,524.30
  5. Step 5: Solve for x
    x = 74,680,487,524.30/329,127.85
  6. Step 6: Final answer
    x = 226,904.19

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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.