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Finding the Fourth Proportional to 490,183.38, 735,326.19 and 135,197.46

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Solution

The fourth proportional to 490,183.38, 735,326.19 and 135,197.46 is: 202,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,183.38 : 735,326.19 = 135,197.46 : x
  2. Step 2: Convert to fraction form
    490,183.38/735,326.19 = 135,197.46/x
  3. Step 3: Cross multiply
    490,183.38x = 735,326.19 × 135,197.46
  4. Step 4: Simplify right side
    490,183.38x = 99,414,233,159.48
  5. Step 5: Solve for x
    x = 99,414,233,159.48/490,183.38
  6. Step 6: Final answer
    x = 202,810.29

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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.