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Finding the Fourth Proportional to 322,407.20, 483,380.40 and 144,768.80

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Solution

The fourth proportional to 322,407.20, 483,380.40 and 144,768.80 is: 217,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,407.20 : 483,380.40 = 144,768.80 : x
  2. Step 2: Convert to fraction form
    322,407.20/483,380.40 = 144,768.80/x
  3. Step 3: Cross multiply
    322,407.20x = 483,380.40 × 144,768.80
  4. Step 4: Simplify right side
    322,407.20x = 69,978,400,451.52
  5. Step 5: Solve for x
    x = 69,978,400,451.52/322,407.20
  6. Step 6: Final answer
    x = 217,049.74

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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.