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Finding the Fourth Proportional to 322,982.82, 484,652.61 and 133,399.08

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Solution

The fourth proportional to 322,982.82, 484,652.61 and 133,399.08 is: 200,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,982.82 : 484,652.61 = 133,399.08 : x
  2. Step 2: Convert to fraction form
    322,982.82/484,652.61 = 133,399.08/x
  3. Step 3: Cross multiply
    322,982.82x = 484,652.61 × 133,399.08
  4. Step 4: Simplify right side
    322,982.82x = 64,652,212,293.60
  5. Step 5: Solve for x
    x = 64,652,212,293.60/322,982.82
  6. Step 6: Final answer
    x = 200,172.29

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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.