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Finding the Fourth Proportional to 362,947.23, 500,869.17 and 201,817.17

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Solution

The fourth proportional to 362,947.23, 500,869.17 and 201,817.17 is: 278,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,947.23 : 500,869.17 = 201,817.17 : x
  2. Step 2: Convert to fraction form
    362,947.23/500,869.17 = 201,817.17/x
  3. Step 3: Cross multiply
    362,947.23x = 500,869.17 × 201,817.17
  4. Step 4: Simplify right side
    362,947.23x = 101,083,998,429.65
  5. Step 5: Solve for x
    x = 101,083,998,429.65/362,947.23
  6. Step 6: Final answer
    x = 278,508.80

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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.