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Finding the Fourth Proportional to 322,193.20, 444,620.84 and 178,952

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Solution

The fourth proportional to 322,193.20, 444,620.84 and 178,952 is: 246,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,193.20 : 444,620.84 = 178,952 : x
  2. Step 2: Convert to fraction form
    322,193.20/444,620.84 = 178,952/x
  3. Step 3: Cross multiply
    322,193.20x = 444,620.84 × 178,952
  4. Step 4: Simplify right side
    322,193.20x = 79,565,788,559.68
  5. Step 5: Solve for x
    x = 79,565,788,559.68/322,193.20
  6. Step 6: Final answer
    x = 246,950.55

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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.