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Finding the Fourth Proportional to 599,848.82, 827,793.04 and 327,920

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Solution

The fourth proportional to 599,848.82, 827,793.04 and 327,920 is: 452,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,848.82 : 827,793.04 = 327,920 : x
  2. Step 2: Convert to fraction form
    599,848.82/827,793.04 = 327,920/x
  3. Step 3: Cross multiply
    599,848.82x = 827,793.04 × 327,920
  4. Step 4: Simplify right side
    599,848.82x = 271,449,893,676.80
  5. Step 5: Solve for x
    x = 271,449,893,676.80/599,848.82
  6. Step 6: Final answer
    x = 452,530.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.