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Finding the Fourth Proportional to 420,408.60, 580,176.68 and 239,146.80

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Solution

The fourth proportional to 420,408.60, 580,176.68 and 239,146.80 is: 330,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,408.60 : 580,176.68 = 239,146.80 : x
  2. Step 2: Convert to fraction form
    420,408.60/580,176.68 = 239,146.80/x
  3. Step 3: Cross multiply
    420,408.60x = 580,176.68 × 239,146.80
  4. Step 4: Simplify right side
    420,408.60x = 138,747,396,456.62
  5. Step 5: Solve for x
    x = 138,747,396,456.62/420,408.60
  6. Step 6: Final answer
    x = 330,029.87

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