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Finding the Fourth Proportional to 397,410.72, 548,414.60 and 225,344.45

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Solution

The fourth proportional to 397,410.72, 548,414.60 and 225,344.45 is: 310,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,410.72 : 548,414.60 = 225,344.45 : x
  2. Step 2: Convert to fraction form
    397,410.72/548,414.60 = 225,344.45/x
  3. Step 3: Cross multiply
    397,410.72x = 548,414.60 × 225,344.45
  4. Step 4: Simplify right side
    397,410.72x = 123,582,182,540.18
  5. Step 5: Solve for x
    x = 123,582,182,540.18/397,410.72
  6. Step 6: Final answer
    x = 310,968.42

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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.