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Finding the Fourth Proportional to 322,543.60, 483,757.80 and 204,002.80

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Solution

The fourth proportional to 322,543.60, 483,757.80 and 204,002.80 is: 305,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,543.60 : 483,757.80 = 204,002.80 : x
  2. Step 2: Convert to fraction form
    322,543.60/483,757.80 = 204,002.80/x
  3. Step 3: Cross multiply
    322,543.60x = 483,757.80 × 204,002.80
  4. Step 4: Simplify right side
    322,543.60x = 98,687,945,721.84
  5. Step 5: Solve for x
    x = 98,687,945,721.84/322,543.60
  6. Step 6: Final answer
    x = 305,967.77

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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.