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Finding the Fourth Proportional to 362,884.37, 500,797.52 and 201,742.11

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Solution

The fourth proportional to 362,884.37, 500,797.52 and 201,742.11 is: 278,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,884.37 : 500,797.52 = 201,742.11 : x
  2. Step 2: Convert to fraction form
    362,884.37/500,797.52 = 201,742.11/x
  3. Step 3: Cross multiply
    362,884.37x = 500,797.52 × 201,742.11
  4. Step 4: Simplify right side
    362,884.37x = 101,031,948,115.39
  5. Step 5: Solve for x
    x = 101,031,948,115.39/362,884.37
  6. Step 6: Final answer
    x = 278,413.61

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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.