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Finding the Fourth Proportional to 361,181.67, 541,777.80 and 171,661.38

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Solution

The fourth proportional to 361,181.67, 541,777.80 and 171,661.38 is: 257,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,181.67 : 541,777.80 = 171,661.38 : x
  2. Step 2: Convert to fraction form
    361,181.67/541,777.80 = 171,661.38/x
  3. Step 3: Cross multiply
    361,181.67x = 541,777.80 × 171,661.38
  4. Step 4: Simplify right side
    361,181.67x = 93,002,324,801.36
  5. Step 5: Solve for x
    x = 93,002,324,801.36/361,181.67
  6. Step 6: Final answer
    x = 257,494.59

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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.