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Finding the Fourth Proportional to 408,517.41, 563,745.87 and 227,225.43

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Solution

The fourth proportional to 408,517.41, 563,745.87 and 227,225.43 is: 313,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,517.41 : 563,745.87 = 227,225.43 : x
  2. Step 2: Convert to fraction form
    408,517.41/563,745.87 = 227,225.43/x
  3. Step 3: Cross multiply
    408,517.41x = 563,745.87 × 227,225.43
  4. Step 4: Simplify right side
    408,517.41x = 128,097,397,721.47
  5. Step 5: Solve for x
    x = 128,097,397,721.47/408,517.41
  6. Step 6: Final answer
    x = 313,566.56

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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.