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Finding the Fourth Proportional to 285,847.24, 394,440.73 and 165,027.52

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Solution

The fourth proportional to 285,847.24, 394,440.73 and 165,027.52 is: 227,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,847.24 : 394,440.73 = 165,027.52 : x
  2. Step 2: Convert to fraction form
    285,847.24/394,440.73 = 165,027.52/x
  3. Step 3: Cross multiply
    285,847.24x = 394,440.73 × 165,027.52
  4. Step 4: Simplify right side
    285,847.24x = 65,093,575,458.89
  5. Step 5: Solve for x
    x = 65,093,575,458.89/285,847.24
  6. Step 6: Final answer
    x = 227,721.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.