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Finding the Fourth Proportional to 362,906.78, 500,813.33 and 199,573.82

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Solution

The fourth proportional to 362,906.78, 500,813.33 and 199,573.82 is: 275,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,906.78 : 500,813.33 = 199,573.82 : x
  2. Step 2: Convert to fraction form
    362,906.78/500,813.33 = 199,573.82/x
  3. Step 3: Cross multiply
    362,906.78x = 500,813.33 × 199,573.82
  4. Step 4: Simplify right side
    362,906.78x = 99,949,229,375.02
  5. Step 5: Solve for x
    x = 99,949,229,375.02/362,906.78
  6. Step 6: Final answer
    x = 275,412.96

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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.