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Finding the Fourth Proportional to 596,876.30, 823,662.43 and 324,937.24

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Solution

The fourth proportional to 596,876.30, 823,662.43 and 324,937.24 is: 448,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,876.30 : 823,662.43 = 324,937.24 : x
  2. Step 2: Convert to fraction form
    596,876.30/823,662.43 = 324,937.24/x
  3. Step 3: Cross multiply
    596,876.30x = 823,662.43 × 324,937.24
  4. Step 4: Simplify right side
    596,876.30x = 267,638,596,695.89
  5. Step 5: Solve for x
    x = 267,638,596,695.89/596,876.30
  6. Step 6: Final answer
    x = 448,398.77

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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.