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Finding the Fourth Proportional to 533,774.12, 800,932.72 and 234,177

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Solution

The fourth proportional to 533,774.12, 800,932.72 and 234,177 is: 351,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,774.12 : 800,932.72 = 234,177 : x
  2. Step 2: Convert to fraction form
    533,774.12/800,932.72 = 234,177/x
  3. Step 3: Cross multiply
    533,774.12x = 800,932.72 × 234,177
  4. Step 4: Simplify right side
    533,774.12x = 187,560,021,571.44
  5. Step 5: Solve for x
    x = 187,560,021,571.44/533,774.12
  6. Step 6: Final answer
    x = 351,384.63

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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.