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Finding the Fourth Proportional to 408,531.46, 563,773.38 and 229,683.46

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Solution

The fourth proportional to 408,531.46, 563,773.38 and 229,683.46 is: 316,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,531.46 : 563,773.38 = 229,683.46 : x
  2. Step 2: Convert to fraction form
    408,531.46/563,773.38 = 229,683.46/x
  3. Step 3: Cross multiply
    408,531.46x = 563,773.38 × 229,683.46
  4. Step 4: Simplify right side
    408,531.46x = 129,489,420,574.30
  5. Step 5: Solve for x
    x = 129,489,420,574.30/408,531.46
  6. Step 6: Final answer
    x = 316,963.16

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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.