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Finding the Fourth Proportional to 322,177.90, 444,579.46 and 186,220.64

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Solution

The fourth proportional to 322,177.90, 444,579.46 and 186,220.64 is: 256,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,177.90 : 444,579.46 = 186,220.64 : x
  2. Step 2: Convert to fraction form
    322,177.90/444,579.46 = 186,220.64/x
  3. Step 3: Cross multiply
    322,177.90x = 444,579.46 × 186,220.64
  4. Step 4: Simplify right side
    322,177.90x = 82,789,871,572.05
  5. Step 5: Solve for x
    x = 82,789,871,572.05/322,177.90
  6. Step 6: Final answer
    x = 256,969.43

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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.