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Finding the Fourth Proportional to 329,060.80, 493,591.20 and 196,091.20

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Solution

The fourth proportional to 329,060.80, 493,591.20 and 196,091.20 is: 294,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,060.80 : 493,591.20 = 196,091.20 : x
  2. Step 2: Convert to fraction form
    329,060.80/493,591.20 = 196,091.20/x
  3. Step 3: Cross multiply
    329,060.80x = 493,591.20 × 196,091.20
  4. Step 4: Simplify right side
    329,060.80x = 96,788,890,717.44
  5. Step 5: Solve for x
    x = 96,788,890,717.44/329,060.80
  6. Step 6: Final answer
    x = 294,136.80

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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.