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Finding the Fourth Proportional to 321,645.38, 443,580.08 and 200,797.83

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Solution

The fourth proportional to 321,645.38, 443,580.08 and 200,797.83 is: 276,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,645.38 : 443,580.08 = 200,797.83 : x
  2. Step 2: Convert to fraction form
    321,645.38/443,580.08 = 200,797.83/x
  3. Step 3: Cross multiply
    321,645.38x = 443,580.08 × 200,797.83
  4. Step 4: Simplify right side
    321,645.38x = 89,069,916,491.24
  5. Step 5: Solve for x
    x = 89,069,916,491.24/321,645.38
  6. Step 6: Final answer
    x = 276,919.62

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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.