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Finding the Fourth Proportional to 305,481.90, 458,074.74 and 179,163.20

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Solution

The fourth proportional to 305,481.90, 458,074.74 and 179,163.20 is: 268,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,481.90 : 458,074.74 = 179,163.20 : x
  2. Step 2: Convert to fraction form
    305,481.90/458,074.74 = 179,163.20/x
  3. Step 3: Cross multiply
    305,481.90x = 458,074.74 × 179,163.20
  4. Step 4: Simplify right side
    305,481.90x = 82,070,136,257.57
  5. Step 5: Solve for x
    x = 82,070,136,257.57/305,481.90
  6. Step 6: Final answer
    x = 268,657.93

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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.