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Finding the Fourth Proportional to 305,771.76, 458,822.61 and 179,658.41

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Solution

The fourth proportional to 305,771.76, 458,822.61 and 179,658.41 is: 269,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,771.76 : 458,822.61 = 179,658.41 : x
  2. Step 2: Convert to fraction form
    305,771.76/458,822.61 = 179,658.41/x
  3. Step 3: Cross multiply
    305,771.76x = 458,822.61 × 179,658.41
  4. Step 4: Simplify right side
    305,771.76x = 82,431,338,290.54
  5. Step 5: Solve for x
    x = 82,431,338,290.54/305,771.76
  6. Step 6: Final answer
    x = 269,584.54

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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.