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Finding the Fourth Proportional to 273,690, 412,723.62 and 269,947.44

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Solution

The fourth proportional to 273,690, 412,723.62 and 269,947.44 is: 407,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,690 : 412,723.62 = 269,947.44 : x
  2. Step 2: Convert to fraction form
    273,690/412,723.62 = 269,947.44/x
  3. Step 3: Cross multiply
    273,690x = 412,723.62 × 269,947.44
  4. Step 4: Simplify right side
    273,690x = 111,413,684,646.53
  5. Step 5: Solve for x
    x = 111,413,684,646.53/273,690
  6. Step 6: Final answer
    x = 407,079.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.