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Finding the Fourth Proportional to 599,596.86, 827,454.54 and 327,676.26

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Solution

The fourth proportional to 599,596.86, 827,454.54 and 327,676.26 is: 452,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,596.86 : 827,454.54 = 327,676.26 : x
  2. Step 2: Convert to fraction form
    599,596.86/827,454.54 = 327,676.26/x
  3. Step 3: Cross multiply
    599,596.86x = 827,454.54 × 327,676.26
  4. Step 4: Simplify right side
    599,596.86x = 271,137,208,987.22
  5. Step 5: Solve for x
    x = 271,137,208,987.22/599,596.86
  6. Step 6: Final answer
    x = 452,199.18

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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.