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Finding the Fourth Proportional to 338,932.12, 467,726.88 and 188,029.12

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Solution

The fourth proportional to 338,932.12, 467,726.88 and 188,029.12 is: 259,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,932.12 : 467,726.88 = 188,029.12 : x
  2. Step 2: Convert to fraction form
    338,932.12/467,726.88 = 188,029.12/x
  3. Step 3: Cross multiply
    338,932.12x = 467,726.88 × 188,029.12
  4. Step 4: Simplify right side
    338,932.12x = 87,946,273,646.75
  5. Step 5: Solve for x
    x = 87,946,273,646.75/338,932.12
  6. Step 6: Final answer
    x = 259,480.49

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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.