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Finding the Fourth Proportional to 362,406.92, 500,138.26 and 201,262.68

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Solution

The fourth proportional to 362,406.92, 500,138.26 and 201,262.68 is: 277,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,406.92 : 500,138.26 = 201,262.68 : x
  2. Step 2: Convert to fraction form
    362,406.92/500,138.26 = 201,262.68/x
  3. Step 3: Cross multiply
    362,406.92x = 500,138.26 × 201,262.68
  4. Step 4: Simplify right side
    362,406.92x = 100,659,166,578.14
  5. Step 5: Solve for x
    x = 100,659,166,578.14/362,406.92
  6. Step 6: Final answer
    x = 277,751.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.