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Finding the Fourth Proportional to 322,912.14, 445,568.28 and 186,919.44

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Solution

The fourth proportional to 322,912.14, 445,568.28 and 186,919.44 is: 257,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,912.14 : 445,568.28 = 186,919.44 : x
  2. Step 2: Convert to fraction form
    322,912.14/445,568.28 = 186,919.44/x
  3. Step 3: Cross multiply
    322,912.14x = 445,568.28 × 186,919.44
  4. Step 4: Simplify right side
    322,912.14x = 83,285,373,379.36
  5. Step 5: Solve for x
    x = 83,285,373,379.36/322,912.14
  6. Step 6: Final answer
    x = 257,919.61

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Why These Related Problems?

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