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Finding the Fourth Proportional to 533,855.88, 800,854.29 and 197,133.21

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Solution

The fourth proportional to 533,855.88, 800,854.29 and 197,133.21 is: 295,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,855.88 : 800,854.29 = 197,133.21 : x
  2. Step 2: Convert to fraction form
    533,855.88/800,854.29 = 197,133.21/x
  3. Step 3: Cross multiply
    533,855.88x = 800,854.29 × 197,133.21
  4. Step 4: Simplify right side
    533,855.88x = 157,874,976,929.97
  5. Step 5: Solve for x
    x = 157,874,976,929.97/533,855.88
  6. Step 6: Final answer
    x = 295,725.84

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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.