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Finding the Fourth Proportional to 278,144.10, 417,216.15 and 267,257.70

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Solution

The fourth proportional to 278,144.10, 417,216.15 and 267,257.70 is: 400,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,144.10 : 417,216.15 = 267,257.70 : x
  2. Step 2: Convert to fraction form
    278,144.10/417,216.15 = 267,257.70/x
  3. Step 3: Cross multiply
    278,144.10x = 417,216.15 × 267,257.70
  4. Step 4: Simplify right side
    278,144.10x = 111,504,228,651.86
  5. Step 5: Solve for x
    x = 111,504,228,651.86/278,144.10
  6. Step 6: Final answer
    x = 400,886.55

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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.