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Finding the Fourth Proportional to 394,074.54, 591,198.30 and 127,861.92

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Solution

The fourth proportional to 394,074.54, 591,198.30 and 127,861.92 is: 191,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,074.54 : 591,198.30 = 127,861.92 : x
  2. Step 2: Convert to fraction form
    394,074.54/591,198.30 = 127,861.92/x
  3. Step 3: Cross multiply
    394,074.54x = 591,198.30 × 127,861.92
  4. Step 4: Simplify right side
    394,074.54x = 75,591,749,738.74
  5. Step 5: Solve for x
    x = 75,591,749,738.74/394,074.54
  6. Step 6: Final answer
    x = 191,820.94

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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.