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Finding the Fourth Proportional to 580,961.60, 871,269.60 and 225,771.20

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Solution

The fourth proportional to 580,961.60, 871,269.60 and 225,771.20 is: 338,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,961.60 : 871,269.60 = 225,771.20 : x
  2. Step 2: Convert to fraction form
    580,961.60/871,269.60 = 225,771.20/x
  3. Step 3: Cross multiply
    580,961.60x = 871,269.60 × 225,771.20
  4. Step 4: Simplify right side
    580,961.60x = 196,707,583,115.52
  5. Step 5: Solve for x
    x = 196,707,583,115.52/580,961.60
  6. Step 6: Final answer
    x = 338,589.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.