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Finding the Fourth Proportional to 394,222.68, 591,647.94 and 204,737.88

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Solution

The fourth proportional to 394,222.68, 591,647.94 and 204,737.88 is: 307,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,222.68 : 591,647.94 = 204,737.88 : x
  2. Step 2: Convert to fraction form
    394,222.68/591,647.94 = 204,737.88/x
  3. Step 3: Cross multiply
    394,222.68x = 591,647.94 × 204,737.88
  4. Step 4: Simplify right side
    394,222.68x = 121,132,744,941.97
  5. Step 5: Solve for x
    x = 121,132,744,941.97/394,222.68
  6. Step 6: Final answer
    x = 307,269.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.