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Finding the Fourth Proportional to 512,342.18, 707,092.17 and 426,149.09

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Solution

The fourth proportional to 512,342.18, 707,092.17 and 426,149.09 is: 588,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,342.18 : 707,092.17 = 426,149.09 : x
  2. Step 2: Convert to fraction form
    512,342.18/707,092.17 = 426,149.09/x
  3. Step 3: Cross multiply
    512,342.18x = 707,092.17 × 426,149.09
  4. Step 4: Simplify right side
    512,342.18x = 301,326,684,791.63
  5. Step 5: Solve for x
    x = 301,326,684,791.63/512,342.18
  6. Step 6: Final answer
    x = 588,135.62

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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.