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Finding the Fourth Proportional to 748,761.60, 1,033,228.80 and 409,228.80

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Solution

The fourth proportional to 748,761.60, 1,033,228.80 and 409,228.80 is: 564,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,761.60 : 1,033,228.80 = 409,228.80 : x
  2. Step 2: Convert to fraction form
    748,761.60/1,033,228.80 = 409,228.80/x
  3. Step 3: Cross multiply
    748,761.60x = 1,033,228.80 × 409,228.80
  4. Step 4: Simplify right side
    748,761.60x = 422,826,981,949.44
  5. Step 5: Solve for x
    x = 422,826,981,949.44/748,761.60
  6. Step 6: Final answer
    x = 564,701.74

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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.