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Finding the Fourth Proportional to 321,523.22, 443,721.96 and 178,283.27

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Solution

The fourth proportional to 321,523.22, 443,721.96 and 178,283.27 is: 246,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,523.22 : 443,721.96 = 178,283.27 : x
  2. Step 2: Convert to fraction form
    321,523.22/443,721.96 = 178,283.27/x
  3. Step 3: Cross multiply
    321,523.22x = 443,721.96 × 178,283.27
  4. Step 4: Simplify right side
    321,523.22x = 79,108,203,108.91
  5. Step 5: Solve for x
    x = 79,108,203,108.91/321,523.22
  6. Step 6: Final answer
    x = 246,041.96

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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.