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Finding the Fourth Proportional to 321,924.92, 444,249.54 and 178,676.36

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Solution

The fourth proportional to 321,924.92, 444,249.54 and 178,676.36 is: 246,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,924.92 : 444,249.54 = 178,676.36 : x
  2. Step 2: Convert to fraction form
    321,924.92/444,249.54 = 178,676.36/x
  3. Step 3: Cross multiply
    321,924.92x = 444,249.54 × 178,676.36
  4. Step 4: Simplify right side
    321,924.92x = 79,376,890,738.87
  5. Step 5: Solve for x
    x = 79,376,890,738.87/321,924.92
  6. Step 6: Final answer
    x = 246,569.58

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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.