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Finding the Fourth Proportional to 274,696.92, 413,917.11 and 225,870.75

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Solution

The fourth proportional to 274,696.92, 413,917.11 and 225,870.75 is: 340,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,696.92 : 413,917.11 = 225,870.75 : x
  2. Step 2: Convert to fraction form
    274,696.92/413,917.11 = 225,870.75/x
  3. Step 3: Cross multiply
    274,696.92x = 413,917.11 × 225,870.75
  4. Step 4: Simplify right side
    274,696.92x = 93,491,768,073.53
  5. Step 5: Solve for x
    x = 93,491,768,073.53/274,696.92
  6. Step 6: Final answer
    x = 340,345.16

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Why These Related Problems?

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