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Finding the Fourth Proportional to 264,232.44, 396,413.46 and 123,827.40

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Solution

The fourth proportional to 264,232.44, 396,413.46 and 123,827.40 is: 185,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,232.44 : 396,413.46 = 123,827.40 : x
  2. Step 2: Convert to fraction form
    264,232.44/396,413.46 = 123,827.40/x
  3. Step 3: Cross multiply
    264,232.44x = 396,413.46 × 123,827.40
  4. Step 4: Simplify right side
    264,232.44x = 49,086,848,076.80
  5. Step 5: Solve for x
    x = 49,086,848,076.80/264,232.44
  6. Step 6: Final answer
    x = 185,771.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.