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Finding the Fourth Proportional to 322,546.60, 483,762.30 and 204,005.80

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Solution

The fourth proportional to 322,546.60, 483,762.30 and 204,005.80 is: 305,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,546.60 : 483,762.30 = 204,005.80 : x
  2. Step 2: Convert to fraction form
    322,546.60/483,762.30 = 204,005.80/x
  3. Step 3: Cross multiply
    322,546.60x = 483,762.30 × 204,005.80
  4. Step 4: Simplify right side
    322,546.60x = 98,690,315,021.34
  5. Step 5: Solve for x
    x = 98,690,315,021.34/322,546.60
  6. Step 6: Final answer
    x = 305,972.27

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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.