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Finding the Fourth Proportional to 321,204.96, 443,256.30 and 177,964.56

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Solution

The fourth proportional to 321,204.96, 443,256.30 and 177,964.56 is: 245,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,204.96 : 443,256.30 = 177,964.56 : x
  2. Step 2: Convert to fraction form
    321,204.96/443,256.30 = 177,964.56/x
  3. Step 3: Cross multiply
    321,204.96x = 443,256.30 × 177,964.56
  4. Step 4: Simplify right side
    321,204.96x = 78,883,912,396.73
  5. Step 5: Solve for x
    x = 78,883,912,396.73/321,204.96
  6. Step 6: Final answer
    x = 245,587.47

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1.5x scale

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.