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Finding the Fourth Proportional to 406,458.45, 560,947.11 and 225,227.23

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Solution

The fourth proportional to 406,458.45, 560,947.11 and 225,227.23 is: 310,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,458.45 : 560,947.11 = 225,227.23 : x
  2. Step 2: Convert to fraction form
    406,458.45/560,947.11 = 225,227.23/x
  3. Step 3: Cross multiply
    406,458.45x = 560,947.11 × 225,227.23
  4. Step 4: Simplify right side
    406,458.45x = 126,340,561,514.84
  5. Step 5: Solve for x
    x = 126,340,561,514.84/406,458.45
  6. Step 6: Final answer
    x = 310,832.66

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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.