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Finding the Fourth Proportional to 533,393.10, 800,204.85 and 159,453.90

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Solution

The fourth proportional to 533,393.10, 800,204.85 and 159,453.90 is: 239,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,393.10 : 800,204.85 = 159,453.90 : x
  2. Step 2: Convert to fraction form
    533,393.10/800,204.85 = 159,453.90/x
  3. Step 3: Cross multiply
    533,393.10x = 800,204.85 × 159,453.90
  4. Step 4: Simplify right side
    533,393.10x = 127,595,784,131.42
  5. Step 5: Solve for x
    x = 127,595,784,131.42/533,393.10
  6. Step 6: Final answer
    x = 239,215.29

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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.