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Finding the Fourth Proportional to 407,163.40, 561,885 and 225,902.80

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Solution

The fourth proportional to 407,163.40, 561,885 and 225,902.80 is: 311,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,163.40 : 561,885 = 225,902.80 : x
  2. Step 2: Convert to fraction form
    407,163.40/561,885 = 225,902.80/x
  3. Step 3: Cross multiply
    407,163.40x = 561,885 × 225,902.80
  4. Step 4: Simplify right side
    407,163.40x = 126,931,394,778
  5. Step 5: Solve for x
    x = 126,931,394,778/407,163.40
  6. Step 6: Final answer
    x = 311,745.59

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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.