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Finding the Fourth Proportional to 433,408.23, 650,174.54 and 133,914.96

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Solution

The fourth proportional to 433,408.23, 650,174.54 and 133,914.96 is: 200,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,408.23 : 650,174.54 = 133,914.96 : x
  2. Step 2: Convert to fraction form
    433,408.23/650,174.54 = 133,914.96/x
  3. Step 3: Cross multiply
    433,408.23x = 650,174.54 × 133,914.96
  4. Step 4: Simplify right side
    433,408.23x = 87,068,096,847.54
  5. Step 5: Solve for x
    x = 87,068,096,847.54/433,408.23
  6. Step 6: Final answer
    x = 200,891.66

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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.