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Finding the Fourth Proportional to 362,878.45, 500,789.34 and 201,736.18

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Solution

The fourth proportional to 362,878.45, 500,789.34 and 201,736.18 is: 278,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,878.45 : 500,789.34 = 201,736.18 : x
  2. Step 2: Convert to fraction form
    362,878.45/500,789.34 = 201,736.18/x
  3. Step 3: Cross multiply
    362,878.45x = 500,789.34 × 201,736.18
  4. Step 4: Simplify right side
    362,878.45x = 101,027,328,436.32
  5. Step 5: Solve for x
    x = 101,027,328,436.32/362,878.45
  6. Step 6: Final answer
    x = 278,405.42

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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.