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Finding the Fourth Proportional to 281,972.80, 422,959.20 and 202,916.80

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Solution

The fourth proportional to 281,972.80, 422,959.20 and 202,916.80 is: 304,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,972.80 : 422,959.20 = 202,916.80 : x
  2. Step 2: Convert to fraction form
    281,972.80/422,959.20 = 202,916.80/x
  3. Step 3: Cross multiply
    281,972.80x = 422,959.20 × 202,916.80
  4. Step 4: Simplify right side
    281,972.80x = 85,825,527,394.56
  5. Step 5: Solve for x
    x = 85,825,527,394.56/281,972.80
  6. Step 6: Final answer
    x = 304,375.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.