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Finding the Fourth Proportional to 411,840.38, 568,335.38 and 230,553.80

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Solution

The fourth proportional to 411,840.38, 568,335.38 and 230,553.80 is: 318,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,840.38 : 568,335.38 = 230,553.80 : x
  2. Step 2: Convert to fraction form
    411,840.38/568,335.38 = 230,553.80/x
  3. Step 3: Cross multiply
    411,840.38x = 568,335.38 × 230,553.80
  4. Step 4: Simplify right side
    411,840.38x = 131,031,881,533.44
  5. Step 5: Solve for x
    x = 131,031,881,533.44/411,840.38
  6. Step 6: Final answer
    x = 318,161.81

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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.