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Finding the Fourth Proportional to 278,324.73, 417,708.50 and 100,882.35

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Solution

The fourth proportional to 278,324.73, 417,708.50 and 100,882.35 is: 151,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,324.73 : 417,708.50 = 100,882.35 : x
  2. Step 2: Convert to fraction form
    278,324.73/417,708.50 = 100,882.35/x
  3. Step 3: Cross multiply
    278,324.73x = 417,708.50 × 100,882.35
  4. Step 4: Simplify right side
    278,324.73x = 42,139,414,590.56
  5. Step 5: Solve for x
    x = 42,139,414,590.56/278,324.73
  6. Step 6: Final answer
    x = 151,403.77

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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.