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Finding the Fourth Proportional to 329,902.20, 494,738.10 and 172,078.20

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Solution

The fourth proportional to 329,902.20, 494,738.10 and 172,078.20 is: 258,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,902.20 : 494,738.10 = 172,078.20 : x
  2. Step 2: Convert to fraction form
    329,902.20/494,738.10 = 172,078.20/x
  3. Step 3: Cross multiply
    329,902.20x = 494,738.10 × 172,078.20
  4. Step 4: Simplify right side
    329,902.20x = 85,133,641,719.42
  5. Step 5: Solve for x
    x = 85,133,641,719.42/329,902.20
  6. Step 6: Final answer
    x = 258,057.21

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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.