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Finding the Fourth Proportional to 329,668.31, 454,942.47 and 178,765.31

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Solution

The fourth proportional to 329,668.31, 454,942.47 and 178,765.31 is: 246,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,668.31 : 454,942.47 = 178,765.31 : x
  2. Step 2: Convert to fraction form
    329,668.31/454,942.47 = 178,765.31/x
  3. Step 3: Cross multiply
    329,668.31x = 454,942.47 × 178,765.31
  4. Step 4: Simplify right side
    329,668.31x = 81,327,933,489.44
  5. Step 5: Solve for x
    x = 81,327,933,489.44/329,668.31
  6. Step 6: Final answer
    x = 246,696.24

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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.