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Finding the Fourth Proportional to 412,098.46, 618,149.34 and 145,859.02

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Solution

The fourth proportional to 412,098.46, 618,149.34 and 145,859.02 is: 218,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,098.46 : 618,149.34 = 145,859.02 : x
  2. Step 2: Convert to fraction form
    412,098.46/618,149.34 = 145,859.02/x
  3. Step 3: Cross multiply
    412,098.46x = 618,149.34 × 145,859.02
  4. Step 4: Simplify right side
    412,098.46x = 90,162,656,946.05
  5. Step 5: Solve for x
    x = 90,162,656,946.05/412,098.46
  6. Step 6: Final answer
    x = 218,789.11

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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.