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Finding the Fourth Proportional to 329,092.20, 493,638.30 and 214,930.80

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Solution

The fourth proportional to 329,092.20, 493,638.30 and 214,930.80 is: 322,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,092.20 : 493,638.30 = 214,930.80 : x
  2. Step 2: Convert to fraction form
    329,092.20/493,638.30 = 214,930.80/x
  3. Step 3: Cross multiply
    329,092.20x = 493,638.30 × 214,930.80
  4. Step 4: Simplify right side
    329,092.20x = 106,098,074,729.64
  5. Step 5: Solve for x
    x = 106,098,074,729.64/329,092.20
  6. Step 6: Final answer
    x = 322,396.20

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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.