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Finding the Fourth Proportional to 362,997.40, 500,947.86 and 201,859.24

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Solution

The fourth proportional to 362,997.40, 500,947.86 and 201,859.24 is: 278,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,997.40 : 500,947.86 = 201,859.24 : x
  2. Step 2: Convert to fraction form
    362,997.40/500,947.86 = 201,859.24/x
  3. Step 3: Cross multiply
    362,997.40x = 500,947.86 × 201,859.24
  4. Step 4: Simplify right side
    362,997.40x = 101,120,954,299.23
  5. Step 5: Solve for x
    x = 101,120,954,299.23/362,997.40
  6. Step 6: Final answer
    x = 278,572.12

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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.