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Finding the Fourth Proportional to 406,456.20, 560,944.01 and 225,224.98

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Solution

The fourth proportional to 406,456.20, 560,944.01 and 225,224.98 is: 310,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,456.20 : 560,944.01 = 225,224.98 : x
  2. Step 2: Convert to fraction form
    406,456.20/560,944.01 = 225,224.98/x
  3. Step 3: Cross multiply
    406,456.20x = 560,944.01 × 225,224.98
  4. Step 4: Simplify right side
    406,456.20x = 126,338,602,594.07
  5. Step 5: Solve for x
    x = 126,338,602,594.07/406,456.20
  6. Step 6: Final answer
    x = 310,829.56

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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.