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Finding the Fourth Proportional to 331,447.28, 457,381.50 and 188,188.52

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Solution

The fourth proportional to 331,447.28, 457,381.50 and 188,188.52 is: 259,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,447.28 : 457,381.50 = 188,188.52 : x
  2. Step 2: Convert to fraction form
    331,447.28/457,381.50 = 188,188.52/x
  3. Step 3: Cross multiply
    331,447.28x = 457,381.50 × 188,188.52
  4. Step 4: Simplify right side
    331,447.28x = 86,073,947,560.38
  5. Step 5: Solve for x
    x = 86,073,947,560.38/331,447.28
  6. Step 6: Final answer
    x = 259,691.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.