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Finding the Fourth Proportional to 327,909.53, 491,438.22 and 147,862.73

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Solution

The fourth proportional to 327,909.53, 491,438.22 and 147,862.73 is: 221,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,909.53 : 491,438.22 = 147,862.73 : x
  2. Step 2: Convert to fraction form
    327,909.53/491,438.22 = 147,862.73/x
  3. Step 3: Cross multiply
    327,909.53x = 491,438.22 × 147,862.73
  4. Step 4: Simplify right side
    327,909.53x = 72,665,396,835.54
  5. Step 5: Solve for x
    x = 72,665,396,835.54/327,909.53
  6. Step 6: Final answer
    x = 221,601.97

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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.