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Finding the Fourth Proportional to 782,318.19, 1,079,414.04 and 442,786.44

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Solution

The fourth proportional to 782,318.19, 1,079,414.04 and 442,786.44 is: 610,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,318.19 : 1,079,414.04 = 442,786.44 : x
  2. Step 2: Convert to fraction form
    782,318.19/1,079,414.04 = 442,786.44/x
  3. Step 3: Cross multiply
    782,318.19x = 1,079,414.04 × 442,786.44
  4. Step 4: Simplify right side
    782,318.19x = 477,949,900,057.62
  5. Step 5: Solve for x
    x = 477,949,900,057.62/782,318.19
  6. Step 6: Final answer
    x = 610,940.54

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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.