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Finding the Fourth Proportional to 274,721.50, 413,954.26 and 225,895.42

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Solution

The fourth proportional to 274,721.50, 413,954.26 and 225,895.42 is: 340,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,721.50 : 413,954.26 = 225,895.42 : x
  2. Step 2: Convert to fraction form
    274,721.50/413,954.26 = 225,895.42/x
  3. Step 3: Cross multiply
    274,721.50x = 413,954.26 × 225,895.42
  4. Step 4: Simplify right side
    274,721.50x = 93,510,371,423.49
  5. Step 5: Solve for x
    x = 93,510,371,423.49/274,721.50
  6. Step 6: Final answer
    x = 340,382.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.