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Finding the Fourth Proportional to 338,661.13, 467,357.61 and 185,713.29

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Solution

The fourth proportional to 338,661.13, 467,357.61 and 185,713.29 is: 256,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,661.13 : 467,357.61 = 185,713.29 : x
  2. Step 2: Convert to fraction form
    338,661.13/467,357.61 = 185,713.29/x
  3. Step 3: Cross multiply
    338,661.13x = 467,357.61 × 185,713.29
  4. Step 4: Simplify right side
    338,661.13x = 86,794,517,022.85
  5. Step 5: Solve for x
    x = 86,794,517,022.85/338,661.13
  6. Step 6: Final answer
    x = 256,287.21

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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.