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Finding the Fourth Proportional to 342,711.80, 514,175.24 and 206,092.14

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Solution

The fourth proportional to 342,711.80, 514,175.24 and 206,092.14 is: 309,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,711.80 : 514,175.24 = 206,092.14 : x
  2. Step 2: Convert to fraction form
    342,711.80/514,175.24 = 206,092.14/x
  3. Step 3: Cross multiply
    342,711.80x = 514,175.24 × 206,092.14
  4. Step 4: Simplify right side
    342,711.80x = 105,967,474,516.15
  5. Step 5: Solve for x
    x = 105,967,474,516.15/342,711.80
  6. Step 6: Final answer
    x = 309,202.88

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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.