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Finding the Fourth Proportional to 533,781, 800,785.68 and 196,822.56

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Solution

The fourth proportional to 533,781, 800,785.68 and 196,822.56 is: 295,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,781 : 800,785.68 = 196,822.56 : x
  2. Step 2: Convert to fraction form
    533,781/800,785.68 = 196,822.56/x
  3. Step 3: Cross multiply
    533,781x = 800,785.68 × 196,822.56
  4. Step 4: Simplify right side
    533,781x = 157,612,687,548.94
  5. Step 5: Solve for x
    x = 157,612,687,548.94/533,781
  6. Step 6: Final answer
    x = 295,275.94

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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.