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Finding the Fourth Proportional to 311,229.20, 466,306.20 and 144,675.60

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Solution

The fourth proportional to 311,229.20, 466,306.20 and 144,675.60 is: 216,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,229.20 : 466,306.20 = 144,675.60 : x
  2. Step 2: Convert to fraction form
    311,229.20/466,306.20 = 144,675.60/x
  3. Step 3: Cross multiply
    311,229.20x = 466,306.20 × 144,675.60
  4. Step 4: Simplify right side
    311,229.20x = 67,463,129,268.72
  5. Step 5: Solve for x
    x = 67,463,129,268.72/311,229.20
  6. Step 6: Final answer
    x = 216,763.50

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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.