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Finding the Fourth Proportional to 321,478.68, 443,610.90 and 178,236.12

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Solution

The fourth proportional to 321,478.68, 443,610.90 and 178,236.12 is: 245,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,478.68 : 443,610.90 = 178,236.12 : x
  2. Step 2: Convert to fraction form
    321,478.68/443,610.90 = 178,236.12/x
  3. Step 3: Cross multiply
    321,478.68x = 443,610.90 × 178,236.12
  4. Step 4: Simplify right side
    321,478.68x = 79,067,485,605.71
  5. Step 5: Solve for x
    x = 79,067,485,605.71/321,478.68
  6. Step 6: Final answer
    x = 245,949.39

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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.