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Finding the Fourth Proportional to 543,437.85, 815,156.10 and 206,397.92

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Solution

The fourth proportional to 543,437.85, 815,156.10 and 206,397.92 is: 309,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,437.85 : 815,156.10 = 206,397.92 : x
  2. Step 2: Convert to fraction form
    543,437.85/815,156.10 = 206,397.92/x
  3. Step 3: Cross multiply
    543,437.85x = 815,156.10 × 206,397.92
  4. Step 4: Simplify right side
    543,437.85x = 168,246,519,439.53
  5. Step 5: Solve for x
    x = 168,246,519,439.53/543,437.85
  6. Step 6: Final answer
    x = 309,596.62

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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.