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Finding the Fourth Proportional to 338,942.54, 467,782.22 and 195,702.28

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Solution

The fourth proportional to 338,942.54, 467,782.22 and 195,702.28 is: 270,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,942.54 : 467,782.22 = 195,702.28 : x
  2. Step 2: Convert to fraction form
    338,942.54/467,782.22 = 195,702.28/x
  3. Step 3: Cross multiply
    338,942.54x = 467,782.22 × 195,702.28
  4. Step 4: Simplify right side
    338,942.54x = 91,546,046,317.26
  5. Step 5: Solve for x
    x = 91,546,046,317.26/338,942.54
  6. Step 6: Final answer
    x = 270,093.11

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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.