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Finding the Fourth Proportional to 278,379.14, 417,568.50 and 159,974.96

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Solution

The fourth proportional to 278,379.14, 417,568.50 and 159,974.96 is: 239,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,379.14 : 417,568.50 = 159,974.96 : x
  2. Step 2: Convert to fraction form
    278,379.14/417,568.50 = 159,974.96/x
  3. Step 3: Cross multiply
    278,379.14x = 417,568.50 × 159,974.96
  4. Step 4: Simplify right side
    278,379.14x = 66,800,501,996.92
  5. Step 5: Solve for x
    x = 66,800,501,996.92/278,379.14
  6. Step 6: Final answer
    x = 239,962.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.