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Finding the Fourth Proportional to 321,559.40, 443,753.16 and 178,332.68

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Solution

The fourth proportional to 321,559.40, 443,753.16 and 178,332.68 is: 246,099.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,559.40 : 443,753.16 = 178,332.68 : x
  2. Step 2: Convert to fraction form
    321,559.40/443,753.16 = 178,332.68/x
  3. Step 3: Cross multiply
    321,559.40x = 443,753.16 × 178,332.68
  4. Step 4: Simplify right side
    321,559.40x = 79,135,690,281.27
  5. Step 5: Solve for x
    x = 79,135,690,281.27/321,559.40
  6. Step 6: Final answer
    x = 246,099.76

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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.