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Finding the Fourth Proportional to 329,061.40, 494,175.30 and 254,363.20

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Solution

The fourth proportional to 329,061.40, 494,175.30 and 254,363.20 is: 381,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,061.40 : 494,175.30 = 254,363.20 : x
  2. Step 2: Convert to fraction form
    329,061.40/494,175.30 = 254,363.20/x
  3. Step 3: Cross multiply
    329,061.40x = 494,175.30 × 254,363.20
  4. Step 4: Simplify right side
    329,061.40x = 125,700,010,668.96
  5. Step 5: Solve for x
    x = 125,700,010,668.96/329,061.40
  6. Step 6: Final answer
    x = 381,995.61

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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.