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Finding the Fourth Proportional to 533,564.75, 800,348.49 and 218,021.65

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Solution

The fourth proportional to 533,564.75, 800,348.49 and 218,021.65 is: 327,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,564.75 : 800,348.49 = 218,021.65 : x
  2. Step 2: Convert to fraction form
    533,564.75/800,348.49 = 218,021.65/x
  3. Step 3: Cross multiply
    533,564.75x = 800,348.49 × 218,021.65
  4. Step 4: Simplify right side
    533,564.75x = 174,493,296,363.94
  5. Step 5: Solve for x
    x = 174,493,296,363.94/533,564.75
  6. Step 6: Final answer
    x = 327,033.03

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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.