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Finding the Fourth Proportional to 494,633.40, 741,906.90 and 162,209.40

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Solution

The fourth proportional to 494,633.40, 741,906.90 and 162,209.40 is: 243,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,633.40 : 741,906.90 = 162,209.40 : x
  2. Step 2: Convert to fraction form
    494,633.40/741,906.90 = 162,209.40/x
  3. Step 3: Cross multiply
    494,633.40x = 741,906.90 × 162,209.40
  4. Step 4: Simplify right side
    494,633.40x = 120,344,273,104.86
  5. Step 5: Solve for x
    x = 120,344,273,104.86/494,633.40
  6. Step 6: Final answer
    x = 243,299.93

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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.