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Finding the Fourth Proportional to 465,469.60, 698,204.40 and 418,230.40

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Solution

The fourth proportional to 465,469.60, 698,204.40 and 418,230.40 is: 627,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,469.60 : 698,204.40 = 418,230.40 : x
  2. Step 2: Convert to fraction form
    465,469.60/698,204.40 = 418,230.40/x
  3. Step 3: Cross multiply
    465,469.60x = 698,204.40 × 418,230.40
  4. Step 4: Simplify right side
    465,469.60x = 292,010,305,493.76
  5. Step 5: Solve for x
    x = 292,010,305,493.76/465,469.60
  6. Step 6: Final answer
    x = 627,345.60

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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.