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Finding the Fourth Proportional to 322,682.68, 484,089.36 and 135,694

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Solution

The fourth proportional to 322,682.68, 484,089.36 and 135,694 is: 203,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,682.68 : 484,089.36 = 135,694 : x
  2. Step 2: Convert to fraction form
    322,682.68/484,089.36 = 135,694/x
  3. Step 3: Cross multiply
    322,682.68x = 484,089.36 × 135,694
  4. Step 4: Simplify right side
    322,682.68x = 65,688,021,615.84
  5. Step 5: Solve for x
    x = 65,688,021,615.84/322,682.68
  6. Step 6: Final answer
    x = 203,568.48

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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.