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Finding the Fourth Proportional to 471,213.40, 706,583.46 and 218,276.44

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Solution

The fourth proportional to 471,213.40, 706,583.46 and 218,276.44 is: 327,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,213.40 : 706,583.46 = 218,276.44 : x
  2. Step 2: Convert to fraction form
    471,213.40/706,583.46 = 218,276.44/x
  3. Step 3: Cross multiply
    471,213.40x = 706,583.46 × 218,276.44
  4. Step 4: Simplify right side
    471,213.40x = 154,230,522,211.68
  5. Step 5: Solve for x
    x = 154,230,522,211.68/471,213.40
  6. Step 6: Final answer
    x = 327,305.04

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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.