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Finding the Fourth Proportional to 321,329.50, 443,250.03 and 200,412.70

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Solution

The fourth proportional to 321,329.50, 443,250.03 and 200,412.70 is: 276,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,329.50 : 443,250.03 = 200,412.70 : x
  2. Step 2: Convert to fraction form
    321,329.50/443,250.03 = 200,412.70/x
  3. Step 3: Cross multiply
    321,329.50x = 443,250.03 × 200,412.70
  4. Step 4: Simplify right side
    321,329.50x = 88,832,935,287.38
  5. Step 5: Solve for x
    x = 88,832,935,287.38/321,329.50
  6. Step 6: Final answer
    x = 276,454.34

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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.