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Finding the Fourth Proportional to 394,294.20, 591,830.10 and 194,839.80

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Solution

The fourth proportional to 394,294.20, 591,830.10 and 194,839.80 is: 292,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,294.20 : 591,830.10 = 194,839.80 : x
  2. Step 2: Convert to fraction form
    394,294.20/591,830.10 = 194,839.80/x
  3. Step 3: Cross multiply
    394,294.20x = 591,830.10 × 194,839.80
  4. Step 4: Simplify right side
    394,294.20x = 115,312,058,317.98
  5. Step 5: Solve for x
    x = 115,312,058,317.98/394,294.20
  6. Step 6: Final answer
    x = 292,451.82

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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.