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Finding the Fourth Proportional to 322,137.84, 444,535.38 and 178,906.98

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Solution

The fourth proportional to 322,137.84, 444,535.38 and 178,906.98 is: 246,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,137.84 : 444,535.38 = 178,906.98 : x
  2. Step 2: Convert to fraction form
    322,137.84/444,535.38 = 178,906.98/x
  3. Step 3: Cross multiply
    322,137.84x = 444,535.38 × 178,906.98
  4. Step 4: Simplify right side
    322,137.84x = 79,530,482,338.95
  5. Step 5: Solve for x
    x = 79,530,482,338.95/322,137.84
  6. Step 6: Final answer
    x = 246,883.39

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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.