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Finding the Fourth Proportional to 408,439.71, 563,637.02 and 222,166.44

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Solution

The fourth proportional to 408,439.71, 563,637.02 and 222,166.44 is: 306,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,439.71 : 563,637.02 = 222,166.44 : x
  2. Step 2: Convert to fraction form
    408,439.71/563,637.02 = 222,166.44/x
  3. Step 3: Cross multiply
    408,439.71x = 563,637.02 × 222,166.44
  4. Step 4: Simplify right side
    408,439.71x = 125,221,229,074.78
  5. Step 5: Solve for x
    x = 125,221,229,074.78/408,439.71
  6. Step 6: Final answer
    x = 306,584.36

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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.