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Finding the Fourth Proportional to 361,474.84, 541,641.95 and 133,456.90

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Solution

The fourth proportional to 361,474.84, 541,641.95 and 133,456.90 is: 199,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,474.84 : 541,641.95 = 133,456.90 : x
  2. Step 2: Convert to fraction form
    361,474.84/541,641.95 = 133,456.90/x
  3. Step 3: Cross multiply
    361,474.84x = 541,641.95 × 133,456.90
  4. Step 4: Simplify right side
    361,474.84x = 72,285,855,556.96
  5. Step 5: Solve for x
    x = 72,285,855,556.96/361,474.84
  6. Step 6: Final answer
    x = 199,974.79

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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.