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Finding the Fourth Proportional to 543,163.24, 814,252.38 and 293,553.64

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Solution

The fourth proportional to 543,163.24, 814,252.38 and 293,553.64 is: 440,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,163.24 : 814,252.38 = 293,553.64 : x
  2. Step 2: Convert to fraction form
    543,163.24/814,252.38 = 293,553.64/x
  3. Step 3: Cross multiply
    543,163.24x = 814,252.38 × 293,553.64
  4. Step 4: Simplify right side
    543,163.24x = 239,026,750,027.66
  5. Step 5: Solve for x
    x = 239,026,750,027.66/543,163.24
  6. Step 6: Final answer
    x = 440,064.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.