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Finding the Fourth Proportional to 408,963.60, 564,375.60 and 227,683.44

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Solution

The fourth proportional to 408,963.60, 564,375.60 and 227,683.44 is: 314,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,963.60 : 564,375.60 = 227,683.44 : x
  2. Step 2: Convert to fraction form
    408,963.60/564,375.60 = 227,683.44/x
  3. Step 3: Cross multiply
    408,963.60x = 564,375.60 × 227,683.44
  4. Step 4: Simplify right side
    408,963.60x = 128,498,978,060.06
  5. Step 5: Solve for x
    x = 128,498,978,060.06/408,963.60
  6. Step 6: Final answer
    x = 314,206.39

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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.