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Finding the Fourth Proportional to 311,659.92, 467,323.44 and 161,749.20

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Solution

The fourth proportional to 311,659.92, 467,323.44 and 161,749.20 is: 242,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,659.92 : 467,323.44 = 161,749.20 : x
  2. Step 2: Convert to fraction form
    311,659.92/467,323.44 = 161,749.20/x
  3. Step 3: Cross multiply
    311,659.92x = 467,323.44 × 161,749.20
  4. Step 4: Simplify right side
    311,659.92x = 75,589,192,561.25
  5. Step 5: Solve for x
    x = 75,589,192,561.25/311,659.92
  6. Step 6: Final answer
    x = 242,537.42

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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.