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Finding the Fourth Proportional to 406,406.52, 560,845.50 and 225,121.24

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Solution

The fourth proportional to 406,406.52, 560,845.50 and 225,121.24 is: 310,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,406.52 : 560,845.50 = 225,121.24 : x
  2. Step 2: Convert to fraction form
    406,406.52/560,845.50 = 225,121.24/x
  3. Step 3: Cross multiply
    406,406.52x = 560,845.50 × 225,121.24
  4. Step 4: Simplify right side
    406,406.52x = 126,258,234,408.42
  5. Step 5: Solve for x
    x = 126,258,234,408.42/406,406.52
  6. Step 6: Final answer
    x = 310,669.81

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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.