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Finding the Fourth Proportional to 338,918.88, 467,708.24 and 188,016

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Solution

The fourth proportional to 338,918.88, 467,708.24 and 188,016 is: 259,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,918.88 : 467,708.24 = 188,016 : x
  2. Step 2: Convert to fraction form
    338,918.88/467,708.24 = 188,016/x
  3. Step 3: Cross multiply
    338,918.88x = 467,708.24 × 188,016
  4. Step 4: Simplify right side
    338,918.88x = 87,936,632,451.84
  5. Step 5: Solve for x
    x = 87,936,632,451.84/338,918.88
  6. Step 6: Final answer
    x = 259,462.18

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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.