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Finding the Fourth Proportional to 278,456.26, 384,178.17 and 157,585.54

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Solution

The fourth proportional to 278,456.26, 384,178.17 and 157,585.54 is: 217,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,456.26 : 384,178.17 = 157,585.54 : x
  2. Step 2: Convert to fraction form
    278,456.26/384,178.17 = 157,585.54/x
  3. Step 3: Cross multiply
    278,456.26x = 384,178.17 × 157,585.54
  4. Step 4: Simplify right side
    278,456.26x = 60,540,924,375.66
  5. Step 5: Solve for x
    x = 60,540,924,375.66/278,456.26
  6. Step 6: Final answer
    x = 217,416.28

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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.