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Finding the Fourth Proportional to 580,912.80, 871,498.80 and 225,895.20

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Solution

The fourth proportional to 580,912.80, 871,498.80 and 225,895.20 is: 338,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,912.80 : 871,498.80 = 225,895.20 : x
  2. Step 2: Convert to fraction form
    580,912.80/871,498.80 = 225,895.20/x
  3. Step 3: Cross multiply
    580,912.80x = 871,498.80 × 225,895.20
  4. Step 4: Simplify right side
    580,912.80x = 196,867,395,725.76
  5. Step 5: Solve for x
    x = 196,867,395,725.76/580,912.80
  6. Step 6: Final answer
    x = 338,893.20

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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.