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Finding the Fourth Proportional to 311,725.73, 467,420.91 and 161,593.85

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Solution

The fourth proportional to 311,725.73, 467,420.91 and 161,593.85 is: 242,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,725.73 : 467,420.91 = 161,593.85 : x
  2. Step 2: Convert to fraction form
    311,725.73/467,420.91 = 161,593.85/x
  3. Step 3: Cross multiply
    311,725.73x = 467,420.91 × 161,593.85
  4. Step 4: Simplify right side
    311,725.73x = 75,532,342,080.30
  5. Step 5: Solve for x
    x = 75,532,342,080.30/311,725.73
  6. Step 6: Final answer
    x = 242,303.85

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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.