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Finding the Fourth Proportional to 311,930.40, 467,588.40 and 154,183.20

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Solution

The fourth proportional to 311,930.40, 467,588.40 and 154,183.20 is: 231,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930.40 : 467,588.40 = 154,183.20 : x
  2. Step 2: Convert to fraction form
    311,930.40/467,588.40 = 154,183.20/x
  3. Step 3: Cross multiply
    311,930.40x = 467,588.40 × 154,183.20
  4. Step 4: Simplify right side
    311,930.40x = 72,094,275,794.88
  5. Step 5: Solve for x
    x = 72,094,275,794.88/311,930.40
  6. Step 6: Final answer
    x = 231,122.95

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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.