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Finding the Fourth Proportional to 533,561.27, 800,343.24 and 218,018.16

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Solution

The fourth proportional to 533,561.27, 800,343.24 and 218,018.16 is: 327,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,561.27 : 800,343.24 = 218,018.16 : x
  2. Step 2: Convert to fraction form
    533,561.27/800,343.24 = 218,018.16/x
  3. Step 3: Cross multiply
    533,561.27x = 800,343.24 × 218,018.16
  4. Step 4: Simplify right side
    533,561.27x = 174,489,360,553.24
  5. Step 5: Solve for x
    x = 174,489,360,553.24/533,561.27
  6. Step 6: Final answer
    x = 327,027.79

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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.