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Finding the Fourth Proportional to 327,354.34, 491,151.45 and 137,862.41

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Solution

The fourth proportional to 327,354.34, 491,151.45 and 137,862.41 is: 206,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,354.34 : 491,151.45 = 137,862.41 : x
  2. Step 2: Convert to fraction form
    327,354.34/491,151.45 = 137,862.41/x
  3. Step 3: Cross multiply
    327,354.34x = 491,151.45 × 137,862.41
  4. Step 4: Simplify right side
    327,354.34x = 67,711,319,857.75
  5. Step 5: Solve for x
    x = 67,711,319,857.75/327,354.34
  6. Step 6: Final answer
    x = 206,844.12

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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.