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Finding the Fourth Proportional to 289,800, 399,787.92 and 204,963.84

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Solution

The fourth proportional to 289,800, 399,787.92 and 204,963.84 is: 282,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,800 : 399,787.92 = 204,963.84 : x
  2. Step 2: Convert to fraction form
    289,800/399,787.92 = 204,963.84/x
  3. Step 3: Cross multiply
    289,800x = 399,787.92 × 204,963.84
  4. Step 4: Simplify right side
    289,800x = 81,942,067,268.81
  5. Step 5: Solve for x
    x = 81,942,067,268.81/289,800
  6. Step 6: Final answer
    x = 282,753.86

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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.