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Finding the Fourth Proportional to 361,251.60, 541,294.20 and 227,893.20

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Solution

The fourth proportional to 361,251.60, 541,294.20 and 227,893.20 is: 341,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,251.60 : 541,294.20 = 227,893.20 : x
  2. Step 2: Convert to fraction form
    361,251.60/541,294.20 = 227,893.20/x
  3. Step 3: Cross multiply
    361,251.60x = 541,294.20 × 227,893.20
  4. Step 4: Simplify right side
    361,251.60x = 123,357,267,379.44
  5. Step 5: Solve for x
    x = 123,357,267,379.44/361,251.60
  6. Step 6: Final answer
    x = 341,471.89

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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.