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Finding the Fourth Proportional to 352,902.36, 486,996.70 and 197,843.38

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Solution

The fourth proportional to 352,902.36, 486,996.70 and 197,843.38 is: 273,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,902.36 : 486,996.70 = 197,843.38 : x
  2. Step 2: Convert to fraction form
    352,902.36/486,996.70 = 197,843.38/x
  3. Step 3: Cross multiply
    352,902.36x = 486,996.70 × 197,843.38
  4. Step 4: Simplify right side
    352,902.36x = 96,349,073,176.85
  5. Step 5: Solve for x
    x = 96,349,073,176.85/352,902.36
  6. Step 6: Final answer
    x = 273,019.07

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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.