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Finding the Fourth Proportional to 416,414.28, 574,652.94 and 225,427.20

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Solution

The fourth proportional to 416,414.28, 574,652.94 and 225,427.20 is: 311,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,414.28 : 574,652.94 = 225,427.20 : x
  2. Step 2: Convert to fraction form
    416,414.28/574,652.94 = 225,427.20/x
  3. Step 3: Cross multiply
    416,414.28x = 574,652.94 × 225,427.20
  4. Step 4: Simplify right side
    416,414.28x = 129,542,403,235.97
  5. Step 5: Solve for x
    x = 129,542,403,235.97/416,414.28
  6. Step 6: Final answer
    x = 311,090.20

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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.