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Finding the Fourth Proportional to 278,622.24, 384,503.16 and 157,760.30

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Solution

The fourth proportional to 278,622.24, 384,503.16 and 157,760.30 is: 217,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,622.24 : 384,503.16 = 157,760.30 : x
  2. Step 2: Convert to fraction form
    278,622.24/384,503.16 = 157,760.30/x
  3. Step 3: Cross multiply
    278,622.24x = 384,503.16 × 157,760.30
  4. Step 4: Simplify right side
    278,622.24x = 60,659,331,950.03
  5. Step 5: Solve for x
    x = 60,659,331,950.03/278,622.24
  6. Step 6: Final answer
    x = 217,711.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.