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Finding the Fourth Proportional to 362,413.56, 500,147.32 and 201,269.32

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Solution

The fourth proportional to 362,413.56, 500,147.32 and 201,269.32 is: 277,760.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,413.56 : 500,147.32 = 201,269.32 : x
  2. Step 2: Convert to fraction form
    362,413.56/500,147.32 = 201,269.32/x
  3. Step 3: Cross multiply
    362,413.56x = 500,147.32 × 201,269.32
  4. Step 4: Simplify right side
    362,413.56x = 100,664,310,996.22
  5. Step 5: Solve for x
    x = 100,664,310,996.22/362,413.56
  6. Step 6: Final answer
    x = 277,760.88

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1.5x scale

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.