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Finding the Fourth Proportional to 580,872.80, 871,309.20 and 381,807.20

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Solution

The fourth proportional to 580,872.80, 871,309.20 and 381,807.20 is: 572,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,872.80 : 871,309.20 = 381,807.20 : x
  2. Step 2: Convert to fraction form
    580,872.80/871,309.20 = 381,807.20/x
  3. Step 3: Cross multiply
    580,872.80x = 871,309.20 × 381,807.20
  4. Step 4: Simplify right side
    580,872.80x = 332,672,125,986.24
  5. Step 5: Solve for x
    x = 332,672,125,986.24/580,872.80
  6. Step 6: Final answer
    x = 572,710.80

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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.