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Finding the Fourth Proportional to 321,629.38, 443,901.68 and 178,435.56

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Solution

The fourth proportional to 321,629.38, 443,901.68 and 178,435.56 is: 246,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,629.38 : 443,901.68 = 178,435.56 : x
  2. Step 2: Convert to fraction form
    321,629.38/443,901.68 = 178,435.56/x
  3. Step 3: Cross multiply
    321,629.38x = 443,901.68 × 178,435.56
  4. Step 4: Simplify right side
    321,629.38x = 79,207,841,744.05
  5. Step 5: Solve for x
    x = 79,207,841,744.05/321,629.38
  6. Step 6: Final answer
    x = 246,270.54

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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.