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Finding the Fourth Proportional to 278,318.19, 417,415.32 and 78,657.24

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Solution

The fourth proportional to 278,318.19, 417,415.32 and 78,657.24 is: 117,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,318.19 : 417,415.32 = 78,657.24 : x
  2. Step 2: Convert to fraction form
    278,318.19/417,415.32 = 78,657.24/x
  3. Step 3: Cross multiply
    278,318.19x = 417,415.32 × 78,657.24
  4. Step 4: Simplify right side
    278,318.19x = 32,832,737,004.92
  5. Step 5: Solve for x
    x = 32,832,737,004.92/278,318.19
  6. Step 6: Final answer
    x = 117,968.35

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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.