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Finding the Fourth Proportional to 321,202.82, 443,241.38 and 177,954.32

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Solution

The fourth proportional to 321,202.82, 443,241.38 and 177,954.32 is: 245,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,202.82 : 443,241.38 = 177,954.32 : x
  2. Step 2: Convert to fraction form
    321,202.82/443,241.38 = 177,954.32/x
  3. Step 3: Cross multiply
    321,202.82x = 443,241.38 × 177,954.32
  4. Step 4: Simplify right side
    321,202.82x = 78,876,718,373.76
  5. Step 5: Solve for x
    x = 78,876,718,373.76/321,202.82
  6. Step 6: Final answer
    x = 245,566.71

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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.