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Finding the Fourth Proportional to 481,408.32, 722,179.68 and 200,861.28

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Solution

The fourth proportional to 481,408.32, 722,179.68 and 200,861.28 is: 301,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,408.32 : 722,179.68 = 200,861.28 : x
  2. Step 2: Convert to fraction form
    481,408.32/722,179.68 = 200,861.28/x
  3. Step 3: Cross multiply
    481,408.32x = 722,179.68 × 200,861.28
  4. Step 4: Simplify right side
    481,408.32x = 145,057,934,914.79
  5. Step 5: Solve for x
    x = 145,057,934,914.79/481,408.32
  6. Step 6: Final answer
    x = 301,319.96

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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.