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Finding the Fourth Proportional to 392,523.21, 541,137.83 and 264,996.81

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Solution

The fourth proportional to 392,523.21, 541,137.83 and 264,996.81 is: 365,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,523.21 : 541,137.83 = 264,996.81 : x
  2. Step 2: Convert to fraction form
    392,523.21/541,137.83 = 264,996.81/x
  3. Step 3: Cross multiply
    392,523.21x = 541,137.83 × 264,996.81
  4. Step 4: Simplify right side
    392,523.21x = 143,399,797,395.34
  5. Step 5: Solve for x
    x = 143,399,797,395.34/392,523.21
  6. Step 6: Final answer
    x = 365,328.20

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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.