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Finding the Fourth Proportional to 278,311.24, 417,484.16 and 78,646.92

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Solution

The fourth proportional to 278,311.24, 417,484.16 and 78,646.92 is: 117,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,311.24 : 417,484.16 = 78,646.92 : x
  2. Step 2: Convert to fraction form
    278,311.24/417,484.16 = 78,646.92/x
  3. Step 3: Cross multiply
    278,311.24x = 417,484.16 × 78,646.92
  4. Step 4: Simplify right side
    278,311.24x = 32,833,843,332.79
  5. Step 5: Solve for x
    x = 32,833,843,332.79/278,311.24
  6. Step 6: Final answer
    x = 117,975.27

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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.