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Finding the Fourth Proportional to 321,175.78, 443,205.12 and 177,927.28

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Solution

The fourth proportional to 321,175.78, 443,205.12 and 177,927.28 is: 245,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,175.78 : 443,205.12 = 177,927.28 : x
  2. Step 2: Convert to fraction form
    321,175.78/443,205.12 = 177,927.28/x
  3. Step 3: Cross multiply
    321,175.78x = 443,205.12 × 177,927.28
  4. Step 4: Simplify right side
    321,175.78x = 78,858,278,378.01
  5. Step 5: Solve for x
    x = 78,858,278,378.01/321,175.78
  6. Step 6: Final answer
    x = 245,529.97

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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.