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Finding the Fourth Proportional to 599,556.97, 827,390.82 and 327,624.91

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Solution

The fourth proportional to 599,556.97, 827,390.82 and 327,624.91 is: 452,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,556.97 : 827,390.82 = 327,624.91 : x
  2. Step 2: Convert to fraction form
    599,556.97/827,390.82 = 327,624.91/x
  3. Step 3: Cross multiply
    599,556.97x = 827,390.82 × 327,624.91
  4. Step 4: Simplify right side
    599,556.97x = 271,073,842,937.33
  5. Step 5: Solve for x
    x = 271,073,842,937.33/599,556.97
  6. Step 6: Final answer
    x = 452,123.58

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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.