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Finding the Fourth Proportional to 394,502.20, 591,753.30 and 128,271.40

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Solution

The fourth proportional to 394,502.20, 591,753.30 and 128,271.40 is: 192,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,502.20 : 591,753.30 = 128,271.40 : x
  2. Step 2: Convert to fraction form
    394,502.20/591,753.30 = 128,271.40/x
  3. Step 3: Cross multiply
    394,502.20x = 591,753.30 × 128,271.40
  4. Step 4: Simplify right side
    394,502.20x = 75,905,024,245.62
  5. Step 5: Solve for x
    x = 75,905,024,245.62/394,502.20
  6. Step 6: Final answer
    x = 192,407.10

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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.