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Finding the Fourth Proportional to 533,593.26, 800,391.24 and 218,050.16

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Solution

The fourth proportional to 533,593.26, 800,391.24 and 218,050.16 is: 327,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,593.26 : 800,391.24 = 218,050.16 : x
  2. Step 2: Convert to fraction form
    533,593.26/800,391.24 = 218,050.16/x
  3. Step 3: Cross multiply
    533,593.26x = 800,391.24 × 218,050.16
  4. Step 4: Simplify right side
    533,593.26x = 174,525,433,942.64
  5. Step 5: Solve for x
    x = 174,525,433,942.64/533,593.26
  6. Step 6: Final answer
    x = 327,075.78

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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.