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Finding the Fourth Proportional to 471,003.20, 706,286.10 and 204,626.60

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Solution

The fourth proportional to 471,003.20, 706,286.10 and 204,626.60 is: 306,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,003.20 : 706,286.10 = 204,626.60 : x
  2. Step 2: Convert to fraction form
    471,003.20/706,286.10 = 204,626.60/x
  3. Step 3: Cross multiply
    471,003.20x = 706,286.10 × 204,626.60
  4. Step 4: Simplify right side
    471,003.20x = 144,524,923,270.26
  5. Step 5: Solve for x
    x = 144,524,923,270.26/471,003.20
  6. Step 6: Final answer
    x = 306,844.89

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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.