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Finding the Fourth Proportional to 599,486.47, 827,290.02 and 327,556.30

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Solution

The fourth proportional to 599,486.47, 827,290.02 and 327,556.30 is: 452,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,486.47 : 827,290.02 = 327,556.30 : x
  2. Step 2: Convert to fraction form
    599,486.47/827,290.02 = 327,556.30/x
  3. Step 3: Cross multiply
    599,486.47x = 827,290.02 × 327,556.30
  4. Step 4: Simplify right side
    599,486.47x = 270,984,053,841.68
  5. Step 5: Solve for x
    x = 270,984,053,841.68/599,486.47
  6. Step 6: Final answer
    x = 452,026.98

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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.