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Finding the Fourth Proportional to 321,892.33, 444,205.86 and 178,658.41

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Solution

The fourth proportional to 321,892.33, 444,205.86 and 178,658.41 is: 246,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,892.33 : 444,205.86 = 178,658.41 : x
  2. Step 2: Convert to fraction form
    321,892.33/444,205.86 = 178,658.41/x
  3. Step 3: Cross multiply
    321,892.33x = 444,205.86 × 178,658.41
  4. Step 4: Simplify right side
    321,892.33x = 79,361,112,660.28
  5. Step 5: Solve for x
    x = 79,361,112,660.28/321,892.33
  6. Step 6: Final answer
    x = 246,545.52

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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.