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Finding the Fourth Proportional to 327,906.87, 491,877.96 and 103,284.90

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Solution

The fourth proportional to 327,906.87, 491,877.96 and 103,284.90 is: 154,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,906.87 : 491,877.96 = 103,284.90 : x
  2. Step 2: Convert to fraction form
    327,906.87/491,877.96 = 103,284.90/x
  3. Step 3: Cross multiply
    327,906.87x = 491,877.96 × 103,284.90
  4. Step 4: Simplify right side
    327,906.87x = 50,803,565,910.80
  5. Step 5: Solve for x
    x = 50,803,565,910.80/327,906.87
  6. Step 6: Final answer
    x = 154,932.91

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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.