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Finding the Fourth Proportional to 397,625.44, 548,738.20 and 227,892.32

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Solution

The fourth proportional to 397,625.44, 548,738.20 and 227,892.32 is: 314,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,625.44 : 548,738.20 = 227,892.32 : x
  2. Step 2: Convert to fraction form
    397,625.44/548,738.20 = 227,892.32/x
  3. Step 3: Cross multiply
    397,625.44x = 548,738.20 × 227,892.32
  4. Step 4: Simplify right side
    397,625.44x = 125,053,221,470.62
  5. Step 5: Solve for x
    x = 125,053,221,470.62/397,625.44
  6. Step 6: Final answer
    x = 314,500.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.