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Finding the Fourth Proportional to 361,234.82, 541,695.20 and 192,717.56

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Solution

The fourth proportional to 361,234.82, 541,695.20 and 192,717.56 is: 288,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,234.82 : 541,695.20 = 192,717.56 : x
  2. Step 2: Convert to fraction form
    361,234.82/541,695.20 = 192,717.56/x
  3. Step 3: Cross multiply
    361,234.82x = 541,695.20 × 192,717.56
  4. Step 4: Simplify right side
    361,234.82x = 104,394,177,598.36
  5. Step 5: Solve for x
    x = 104,394,177,598.36/361,234.82
  6. Step 6: Final answer
    x = 288,992.56

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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.