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Finding the Fourth Proportional to 410,520.20, 616,241.10 and 317,438.60

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Solution

The fourth proportional to 410,520.20, 616,241.10 and 317,438.60 is: 476,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,520.20 : 616,241.10 = 317,438.60 : x
  2. Step 2: Convert to fraction form
    410,520.20/616,241.10 = 317,438.60/x
  3. Step 3: Cross multiply
    410,520.20x = 616,241.10 × 317,438.60
  4. Step 4: Simplify right side
    410,520.20x = 195,618,712,046.46
  5. Step 5: Solve for x
    x = 195,618,712,046.46/410,520.20
  6. Step 6: Final answer
    x = 476,514.22

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