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Finding the Fourth Proportional to 322,107.42, 444,523.04 and 178,868.03

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Solution

The fourth proportional to 322,107.42, 444,523.04 and 178,868.03 is: 246,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,107.42 : 444,523.04 = 178,868.03 : x
  2. Step 2: Convert to fraction form
    322,107.42/444,523.04 = 178,868.03/x
  3. Step 3: Cross multiply
    322,107.42x = 444,523.04 × 178,868.03
  4. Step 4: Simplify right side
    322,107.42x = 79,510,957,337.46
  5. Step 5: Solve for x
    x = 79,510,957,337.46/322,107.42
  6. Step 6: Final answer
    x = 246,846.09

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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.