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Finding the Fourth Proportional to 347,469.12, 479,509.23 and 196,562.88

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Solution

The fourth proportional to 347,469.12, 479,509.23 and 196,562.88 is: 271,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,469.12 : 479,509.23 = 196,562.88 : x
  2. Step 2: Convert to fraction form
    347,469.12/479,509.23 = 196,562.88/x
  3. Step 3: Cross multiply
    347,469.12x = 479,509.23 × 196,562.88
  4. Step 4: Simplify right side
    347,469.12x = 94,253,715,235.38
  5. Step 5: Solve for x
    x = 94,253,715,235.38/347,469.12
  6. Step 6: Final answer
    x = 271,257.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.