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Finding the Fourth Proportional to 599,423.90, 827,216.89 and 327,508.67

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Solution

The fourth proportional to 599,423.90, 827,216.89 and 327,508.67 is: 451,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,423.90 : 827,216.89 = 327,508.67 : x
  2. Step 2: Convert to fraction form
    599,423.90/827,216.89 = 327,508.67/x
  3. Step 3: Cross multiply
    599,423.90x = 827,216.89 × 327,508.67
  4. Step 4: Simplify right side
    599,423.90x = 270,920,703,445.44
  5. Step 5: Solve for x
    x = 270,920,703,445.44/599,423.90
  6. Step 6: Final answer
    x = 451,968.47

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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.