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Finding the Fourth Proportional to 337,876.14, 466,136.42 and 217,000.64

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Solution

The fourth proportional to 337,876.14, 466,136.42 and 217,000.64 is: 299,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,876.14 : 466,136.42 = 217,000.64 : x
  2. Step 2: Convert to fraction form
    337,876.14/466,136.42 = 217,000.64/x
  3. Step 3: Cross multiply
    337,876.14x = 466,136.42 × 217,000.64
  4. Step 4: Simplify right side
    337,876.14x = 101,151,901,467.31
  5. Step 5: Solve for x
    x = 101,151,901,467.31/337,876.14
  6. Step 6: Final answer
    x = 299,375.69

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