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Finding the Fourth Proportional to 329,201.60, 454,283.24 and 206,757.23

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Solution

The fourth proportional to 329,201.60, 454,283.24 and 206,757.23 is: 285,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,201.60 : 454,283.24 = 206,757.23 : x
  2. Step 2: Convert to fraction form
    329,201.60/454,283.24 = 206,757.23/x
  3. Step 3: Cross multiply
    329,201.60x = 454,283.24 × 206,757.23
  4. Step 4: Simplify right side
    329,201.60x = 93,926,341,032.62
  5. Step 5: Solve for x
    x = 93,926,341,032.62/329,201.60
  6. Step 6: Final answer
    x = 285,315.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.