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Finding the Fourth Proportional to 278,317.57, 384,078.36 and 157,456.39

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Solution

The fourth proportional to 278,317.57, 384,078.36 and 157,456.39 is: 217,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,317.57 : 384,078.36 = 157,456.39 : x
  2. Step 2: Convert to fraction form
    278,317.57/384,078.36 = 157,456.39/x
  3. Step 3: Cross multiply
    278,317.57x = 384,078.36 × 157,456.39
  4. Step 4: Simplify right side
    278,317.57x = 60,475,592,042.72
  5. Step 5: Solve for x
    x = 60,475,592,042.72/278,317.57
  6. Step 6: Final answer
    x = 217,289.88

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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.