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Finding the Fourth Proportional to 1,227,263.98, 1,839,616.24 and 686,727.80

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Solution

The fourth proportional to 1,227,263.98, 1,839,616.24 and 686,727.80 is: 1,029,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,263.98 : 1,839,616.24 = 686,727.80 : x
  2. Step 2: Convert to fraction form
    1,227,263.98/1,839,616.24 = 686,727.80/x
  3. Step 3: Cross multiply
    1,227,263.98x = 1,839,616.24 × 686,727.80
  4. Step 4: Simplify right side
    1,227,263.98x = 1,263,315,603,505.40
  5. Step 5: Solve for x
    x = 1,263,315,603,505.40/1,227,263.98
  6. Step 6: Final answer
    x = 1,029,375.60

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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.