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Finding the Fourth Proportional to 321,195.44, 443,243.88 and 177,954.96

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Solution

The fourth proportional to 321,195.44, 443,243.88 and 177,954.96 is: 245,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,195.44 : 443,243.88 = 177,954.96 : x
  2. Step 2: Convert to fraction form
    321,195.44/443,243.88 = 177,954.96/x
  3. Step 3: Cross multiply
    321,195.44x = 443,243.88 × 177,954.96
  4. Step 4: Simplify right side
    321,195.44x = 78,877,446,935.64
  5. Step 5: Solve for x
    x = 78,877,446,935.64/321,195.44
  6. Step 6: Final answer
    x = 245,574.62

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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.