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Finding the Fourth Proportional to 433,620.46, 650,269.09 and 149,231.49

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Solution

The fourth proportional to 433,620.46, 650,269.09 and 149,231.49 is: 223,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,620.46 : 650,269.09 = 149,231.49 : x
  2. Step 2: Convert to fraction form
    433,620.46/650,269.09 = 149,231.49/x
  3. Step 3: Cross multiply
    433,620.46x = 650,269.09 × 149,231.49
  4. Step 4: Simplify right side
    433,620.46x = 97,040,625,201.64
  5. Step 5: Solve for x
    x = 97,040,625,201.64/433,620.46
  6. Step 6: Final answer
    x = 223,791.62

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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.