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Finding the Fourth Proportional to 467,380.96, 700,791.24 and 214,344.52

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Solution

The fourth proportional to 467,380.96, 700,791.24 and 214,344.52 is: 321,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,380.96 : 700,791.24 = 214,344.52 : x
  2. Step 2: Convert to fraction form
    467,380.96/700,791.24 = 214,344.52/x
  3. Step 3: Cross multiply
    467,380.96x = 700,791.24 × 214,344.52
  4. Step 4: Simplify right side
    467,380.96x = 150,210,761,958.01
  5. Step 5: Solve for x
    x = 150,210,761,958.01/467,380.96
  6. Step 6: Final answer
    x = 321,388.28

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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.