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Finding the Fourth Proportional to 311,176.80, 466,765.20 and 204,271.20

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Solution

The fourth proportional to 311,176.80, 466,765.20 and 204,271.20 is: 306,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,176.80 : 466,765.20 = 204,271.20 : x
  2. Step 2: Convert to fraction form
    311,176.80/466,765.20 = 204,271.20/x
  3. Step 3: Cross multiply
    311,176.80x = 466,765.20 × 204,271.20
  4. Step 4: Simplify right side
    311,176.80x = 95,346,687,522.24
  5. Step 5: Solve for x
    x = 95,346,687,522.24/311,176.80
  6. Step 6: Final answer
    x = 306,406.80

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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.