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Finding the Fourth Proportional to 362,981.36, 500,922.96 and 201,843.20

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Solution

The fourth proportional to 362,981.36, 500,922.96 and 201,843.20 is: 278,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,981.36 : 500,922.96 = 201,843.20 : x
  2. Step 2: Convert to fraction form
    362,981.36/500,922.96 = 201,843.20/x
  3. Step 3: Cross multiply
    362,981.36x = 500,922.96 × 201,843.20
  4. Step 4: Simplify right side
    362,981.36x = 101,107,893,199.87
  5. Step 5: Solve for x
    x = 101,107,893,199.87/362,981.36
  6. Step 6: Final answer
    x = 278,548.44

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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.