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Finding the Fourth Proportional to 417,769.89, 576,520.83 and 226,781.61

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Solution

The fourth proportional to 417,769.89, 576,520.83 and 226,781.61 is: 312,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,769.89 : 576,520.83 = 226,781.61 : x
  2. Step 2: Convert to fraction form
    417,769.89/576,520.83 = 226,781.61/x
  3. Step 3: Cross multiply
    417,769.89x = 576,520.83 × 226,781.61
  4. Step 4: Simplify right side
    417,769.89x = 130,744,322,025.94
  5. Step 5: Solve for x
    x = 130,744,322,025.94/417,769.89
  6. Step 6: Final answer
    x = 312,957.74

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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.