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Finding the Fourth Proportional to 297,834.05, 411,014.16 and 161,868

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Solution

The fourth proportional to 297,834.05, 411,014.16 and 161,868 is: 223,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,834.05 : 411,014.16 = 161,868 : x
  2. Step 2: Convert to fraction form
    297,834.05/411,014.16 = 161,868/x
  3. Step 3: Cross multiply
    297,834.05x = 411,014.16 × 161,868
  4. Step 4: Simplify right side
    297,834.05x = 66,530,040,050.88
  5. Step 5: Solve for x
    x = 66,530,040,050.88/297,834.05
  6. Step 6: Final answer
    x = 223,379.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.