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Finding the Fourth Proportional to 461,757.20, 691,323.60 and 409,269.20

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Solution

The fourth proportional to 461,757.20, 691,323.60 and 409,269.20 is: 612,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,757.20 : 691,323.60 = 409,269.20 : x
  2. Step 2: Convert to fraction form
    461,757.20/691,323.60 = 409,269.20/x
  3. Step 3: Cross multiply
    461,757.20x = 691,323.60 × 409,269.20
  4. Step 4: Simplify right side
    461,757.20x = 282,937,456,713.12
  5. Step 5: Solve for x
    x = 282,937,456,713.12/461,757.20
  6. Step 6: Final answer
    x = 612,740.76

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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.