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Finding the Fourth Proportional to 599,500.85, 827,311.38 and 323,858.80

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Solution

The fourth proportional to 599,500.85, 827,311.38 and 323,858.80 is: 446,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,500.85 : 827,311.38 = 323,858.80 : x
  2. Step 2: Convert to fraction form
    599,500.85/827,311.38 = 323,858.80/x
  3. Step 3: Cross multiply
    599,500.85x = 827,311.38 × 323,858.80
  4. Step 4: Simplify right side
    599,500.85x = 267,932,066,616.59
  5. Step 5: Solve for x
    x = 267,932,066,616.59/599,500.85
  6. Step 6: Final answer
    x = 446,925.25

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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.