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Finding the Fourth Proportional to 321,592.38, 443,786.28 and 178,365.75

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Solution

The fourth proportional to 321,592.38, 443,786.28 and 178,365.75 is: 246,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,592.38 : 443,786.28 = 178,365.75 : x
  2. Step 2: Convert to fraction form
    321,592.38/443,786.28 = 178,365.75/x
  3. Step 3: Cross multiply
    321,592.38x = 443,786.28 × 178,365.75
  4. Step 4: Simplify right side
    321,592.38x = 79,156,272,671.91
  5. Step 5: Solve for x
    x = 79,156,272,671.91/321,592.38
  6. Step 6: Final answer
    x = 246,138.52

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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.