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Finding the Fourth Proportional to 596,805.92, 823,583.70 and 324,876.07

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Solution

The fourth proportional to 596,805.92, 823,583.70 and 324,876.07 is: 448,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,805.92 : 823,583.70 = 324,876.07 : x
  2. Step 2: Convert to fraction form
    596,805.92/823,583.70 = 324,876.07/x
  3. Step 3: Cross multiply
    596,805.92x = 823,583.70 × 324,876.07
  4. Step 4: Simplify right side
    596,805.92x = 267,562,632,168.88
  5. Step 5: Solve for x
    x = 267,562,632,168.88/596,805.92
  6. Step 6: Final answer
    x = 448,324.36

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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.