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Finding the Fourth Proportional to 465,052.68, 641,793.78 and 274,074.12

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Solution

The fourth proportional to 465,052.68, 641,793.78 and 274,074.12 is: 378,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,052.68 : 641,793.78 = 274,074.12 : x
  2. Step 2: Convert to fraction form
    465,052.68/641,793.78 = 274,074.12/x
  3. Step 3: Cross multiply
    465,052.68x = 641,793.78 × 274,074.12
  4. Step 4: Simplify right side
    465,052.68x = 175,899,065,474.97
  5. Step 5: Solve for x
    x = 175,899,065,474.97/465,052.68
  6. Step 6: Final answer
    x = 378,234.71

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Why These Related Problems?

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