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Finding the Fourth Proportional to 339,906.38, 510,084.17 and 160,043.24

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Solution

The fourth proportional to 339,906.38, 510,084.17 and 160,043.24 is: 240,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,906.38 : 510,084.17 = 160,043.24 : x
  2. Step 2: Convert to fraction form
    339,906.38/510,084.17 = 160,043.24/x
  3. Step 3: Cross multiply
    339,906.38x = 510,084.17 × 160,043.24
  4. Step 4: Simplify right side
    339,906.38x = 81,635,519,888.87
  5. Step 5: Solve for x
    x = 81,635,519,888.87/339,906.38
  6. Step 6: Final answer
    x = 240,170.61

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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.