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Finding the Fourth Proportional to 329,906.56, 494,766.96 and 161,335.84

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Solution

The fourth proportional to 329,906.56, 494,766.96 and 161,335.84 is: 241,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,906.56 : 494,766.96 = 161,335.84 : x
  2. Step 2: Convert to fraction form
    329,906.56/494,766.96 = 161,335.84/x
  3. Step 3: Cross multiply
    329,906.56x = 494,766.96 × 161,335.84
  4. Step 4: Simplify right side
    329,906.56x = 79,823,643,095.85
  5. Step 5: Solve for x
    x = 79,823,643,095.85/329,906.56
  6. Step 6: Final answer
    x = 241,958.34

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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.