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Finding the Fourth Proportional to 338,924.52, 467,713.38 and 188,022.12

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Solution

The fourth proportional to 338,924.52, 467,713.38 and 188,022.12 is: 259,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,924.52 : 467,713.38 = 188,022.12 : x
  2. Step 2: Convert to fraction form
    338,924.52/467,713.38 = 188,022.12/x
  3. Step 3: Cross multiply
    338,924.52x = 467,713.38 × 188,022.12
  4. Step 4: Simplify right side
    338,924.52x = 87,940,461,259.97
  5. Step 5: Solve for x
    x = 87,940,461,259.97/338,924.52
  6. Step 6: Final answer
    x = 259,469.16

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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.