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Finding the Fourth Proportional to 322,885.36, 445,584 and 179,651.44

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Solution

The fourth proportional to 322,885.36, 445,584 and 179,651.44 is: 247,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,885.36 : 445,584 = 179,651.44 : x
  2. Step 2: Convert to fraction form
    322,885.36/445,584 = 179,651.44/x
  3. Step 3: Cross multiply
    322,885.36x = 445,584 × 179,651.44
  4. Step 4: Simplify right side
    322,885.36x = 80,049,807,240.96
  5. Step 5: Solve for x
    x = 80,049,807,240.96/322,885.36
  6. Step 6: Final answer
    x = 247,920.21

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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.