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Finding the Fourth Proportional to 356,530.80, 492,016.37 and 195,382.38

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Solution

The fourth proportional to 356,530.80, 492,016.37 and 195,382.38 is: 269,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,530.80 : 492,016.37 = 195,382.38 : x
  2. Step 2: Convert to fraction form
    356,530.80/492,016.37 = 195,382.38/x
  3. Step 3: Cross multiply
    356,530.80x = 492,016.37 × 195,382.38
  4. Step 4: Simplify right side
    356,530.80x = 96,131,325,932.57
  5. Step 5: Solve for x
    x = 96,131,325,932.57/356,530.80
  6. Step 6: Final answer
    x = 269,629.80

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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.