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Finding the Fourth Proportional to 748,843.74, 1,033,404.87 and 409,311.96

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Solution

The fourth proportional to 748,843.74, 1,033,404.87 and 409,311.96 is: 564,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,843.74 : 1,033,404.87 = 409,311.96 : x
  2. Step 2: Convert to fraction form
    748,843.74/1,033,404.87 = 409,311.96/x
  3. Step 3: Cross multiply
    748,843.74x = 1,033,404.87 × 409,311.96
  4. Step 4: Simplify right side
    748,843.74x = 422,984,972,813.25
  5. Step 5: Solve for x
    x = 422,984,972,813.25/748,843.74
  6. Step 6: Final answer
    x = 564,850.78

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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.