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Finding the Fourth Proportional to 322,571.56, 483,929.88 and 109,327.36

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Solution

The fourth proportional to 322,571.56, 483,929.88 and 109,327.36 is: 164,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,571.56 : 483,929.88 = 109,327.36 : x
  2. Step 2: Convert to fraction form
    322,571.56/483,929.88 = 109,327.36/x
  3. Step 3: Cross multiply
    322,571.56x = 483,929.88 × 109,327.36
  4. Step 4: Simplify right side
    322,571.56x = 52,906,776,205.52
  5. Step 5: Solve for x
    x = 52,906,776,205.52/322,571.56
  6. Step 6: Final answer
    x = 164,015.63

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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.