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Finding the Fourth Proportional to 416,422.71, 574,665.17 and 225,436.10

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Solution

The fourth proportional to 416,422.71, 574,665.17 and 225,436.10 is: 311,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,422.71 : 574,665.17 = 225,436.10 : x
  2. Step 2: Convert to fraction form
    416,422.71/574,665.17 = 225,436.10/x
  3. Step 3: Cross multiply
    416,422.71x = 574,665.17 × 225,436.10
  4. Step 4: Simplify right side
    416,422.71x = 129,550,270,730.13
  5. Step 5: Solve for x
    x = 129,550,270,730.13/416,422.71
  6. Step 6: Final answer
    x = 311,102.80

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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.