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Finding the Fourth Proportional to 417,456.50, 576,091.62 and 226,471.23

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Solution

The fourth proportional to 417,456.50, 576,091.62 and 226,471.23 is: 312,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,456.50 : 576,091.62 = 226,471.23 : x
  2. Step 2: Convert to fraction form
    417,456.50/576,091.62 = 226,471.23/x
  3. Step 3: Cross multiply
    417,456.50x = 576,091.62 × 226,471.23
  4. Step 4: Simplify right side
    417,456.50x = 130,468,177,774.09
  5. Step 5: Solve for x
    x = 130,468,177,774.09/417,456.50
  6. Step 6: Final answer
    x = 312,531.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.