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Finding the Fourth Proportional to 546,902.97, 820,436.49 and 191,854.44

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Solution

The fourth proportional to 546,902.97, 820,436.49 and 191,854.44 is: 287,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,902.97 : 820,436.49 = 191,854.44 : x
  2. Step 2: Convert to fraction form
    546,902.97/820,436.49 = 191,854.44/x
  3. Step 3: Cross multiply
    546,902.97x = 820,436.49 × 191,854.44
  4. Step 4: Simplify right side
    546,902.97x = 157,404,383,344.52
  5. Step 5: Solve for x
    x = 157,404,383,344.52/546,902.97
  6. Step 6: Final answer
    x = 287,810.44

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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.