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Finding the Fourth Proportional to 1,608,869.20, 2,413,266.90 and 809,936.20

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Solution

The fourth proportional to 1,608,869.20, 2,413,266.90 and 809,936.20 is: 1,214,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608,869.20 : 2,413,266.90 = 809,936.20 : x
  2. Step 2: Convert to fraction form
    1,608,869.20/2,413,266.90 = 809,936.20/x
  3. Step 3: Cross multiply
    1,608,869.20x = 2,413,266.90 × 809,936.20
  4. Step 4: Simplify right side
    1,608,869.20x = 1,954,592,222,571.78
  5. Step 5: Solve for x
    x = 1,954,592,222,571.78/1,608,869.20
  6. Step 6: Final answer
    x = 1,214,885.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.