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Finding the Fourth Proportional to 321,176.78, 443,206.49 and 177,928.28

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Solution

The fourth proportional to 321,176.78, 443,206.49 and 177,928.28 is: 245,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,176.78 : 443,206.49 = 177,928.28 : x
  2. Step 2: Convert to fraction form
    321,176.78/443,206.49 = 177,928.28/x
  3. Step 3: Cross multiply
    321,176.78x = 443,206.49 × 177,928.28
  4. Step 4: Simplify right side
    321,176.78x = 78,858,966,679.33
  5. Step 5: Solve for x
    x = 78,858,966,679.33/321,176.78
  6. Step 6: Final answer
    x = 245,531.35

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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.