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Finding the Fourth Proportional to 279,635.20, 419,452.80 and 200,903.20

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Solution

The fourth proportional to 279,635.20, 419,452.80 and 200,903.20 is: 301,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,635.20 : 419,452.80 = 200,903.20 : x
  2. Step 2: Convert to fraction form
    279,635.20/419,452.80 = 200,903.20/x
  3. Step 3: Cross multiply
    279,635.20x = 419,452.80 × 200,903.20
  4. Step 4: Simplify right side
    279,635.20x = 84,269,409,768.96
  5. Step 5: Solve for x
    x = 84,269,409,768.96/279,635.20
  6. Step 6: Final answer
    x = 301,354.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.