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Finding the Fourth Proportional to 1,407,824.97, 1,942,653.05 and 863,983.68

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Solution

The fourth proportional to 1,407,824.97, 1,942,653.05 and 863,983.68 is: 1,192,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,824.97 : 1,942,653.05 = 863,983.68 : x
  2. Step 2: Convert to fraction form
    1,407,824.97/1,942,653.05 = 863,983.68/x
  3. Step 3: Cross multiply
    1,407,824.97x = 1,942,653.05 × 863,983.68
  4. Step 4: Simplify right side
    1,407,824.97x = 1,678,420,522,737.30
  5. Step 5: Solve for x
    x = 1,678,420,522,737.30/1,407,824.97
  6. Step 6: Final answer
    x = 1,192,208.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.