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Finding the Fourth Proportional to 2,582,414, 3,874,243.44 and 809,486

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Solution

The fourth proportional to 2,582,414, 3,874,243.44 and 809,486 is: 1,214,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,414 : 3,874,243.44 = 809,486 : x
  2. Step 2: Convert to fraction form
    2,582,414/3,874,243.44 = 809,486/x
  3. Step 3: Cross multiply
    2,582,414x = 3,874,243.44 × 809,486
  4. Step 4: Simplify right side
    2,582,414x = 3,136,145,825,271.84
  5. Step 5: Solve for x
    x = 3,136,145,825,271.84/2,582,414
  6. Step 6: Final answer
    x = 1,214,424.11

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Why These Related Problems?

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