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Finding the Fourth Proportional to 361,331.40, 541,778.22 and 161,614.56

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Solution

The fourth proportional to 361,331.40, 541,778.22 and 161,614.56 is: 242,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,331.40 : 541,778.22 = 161,614.56 : x
  2. Step 2: Convert to fraction form
    361,331.40/541,778.22 = 161,614.56/x
  3. Step 3: Cross multiply
    361,331.40x = 541,778.22 × 161,614.56
  4. Step 4: Simplify right side
    361,331.40x = 87,559,248,642.88
  5. Step 5: Solve for x
    x = 87,559,248,642.88/361,331.40
  6. Step 6: Final answer
    x = 242,323.94

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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.