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Finding the Fourth Proportional to 252,283.84, 347,789.94 and 198,475.42

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Solution

The fourth proportional to 252,283.84, 347,789.94 and 198,475.42 is: 273,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,283.84 : 347,789.94 = 198,475.42 : x
  2. Step 2: Convert to fraction form
    252,283.84/347,789.94 = 198,475.42/x
  3. Step 3: Cross multiply
    252,283.84x = 347,789.94 × 198,475.42
  4. Step 4: Simplify right side
    252,283.84x = 69,027,754,413.27
  5. Step 5: Solve for x
    x = 69,027,754,413.27/252,283.84
  6. Step 6: Final answer
    x = 273,611.48

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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.