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Finding the Fourth Proportional to 533,563.23, 800,346.21 and 218,020.14

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Solution

The fourth proportional to 533,563.23, 800,346.21 and 218,020.14 is: 327,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,563.23 : 800,346.21 = 218,020.14 : x
  2. Step 2: Convert to fraction form
    533,563.23/800,346.21 = 218,020.14/x
  3. Step 3: Cross multiply
    533,563.23x = 800,346.21 × 218,020.14
  4. Step 4: Simplify right side
    533,563.23x = 174,491,591,662.57
  5. Step 5: Solve for x
    x = 174,491,591,662.57/533,563.23
  6. Step 6: Final answer
    x = 327,030.77

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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.