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Finding the Fourth Proportional to 408,522.96, 563,761.67 and 229,674.96

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Solution

The fourth proportional to 408,522.96, 563,761.67 and 229,674.96 is: 316,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,522.96 : 563,761.67 = 229,674.96 : x
  2. Step 2: Convert to fraction form
    408,522.96/563,761.67 = 229,674.96/x
  3. Step 3: Cross multiply
    408,522.96x = 563,761.67 × 229,674.96
  4. Step 4: Simplify right side
    408,522.96x = 129,481,937,858.41
  5. Step 5: Solve for x
    x = 129,481,937,858.41/408,522.96
  6. Step 6: Final answer
    x = 316,951.43

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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.