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Finding the Fourth Proportional to 408,054.62, 563,104.16 and 226,761.90

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Solution

The fourth proportional to 408,054.62, 563,104.16 and 226,761.90 is: 312,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,054.62 : 563,104.16 = 226,761.90 : x
  2. Step 2: Convert to fraction form
    408,054.62/563,104.16 = 226,761.90/x
  3. Step 3: Cross multiply
    408,054.62x = 563,104.16 × 226,761.90
  4. Step 4: Simplify right side
    408,054.62x = 127,690,569,219.50
  5. Step 5: Solve for x
    x = 127,690,569,219.50/408,054.62
  6. Step 6: Final answer
    x = 312,925.19

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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.