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Finding the Fourth Proportional to 337,907.72, 466,262.49 and 205,231.48

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Solution

The fourth proportional to 337,907.72, 466,262.49 and 205,231.48 is: 283,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,907.72 : 466,262.49 = 205,231.48 : x
  2. Step 2: Convert to fraction form
    337,907.72/466,262.49 = 205,231.48/x
  3. Step 3: Cross multiply
    337,907.72x = 466,262.49 × 205,231.48
  4. Step 4: Simplify right side
    337,907.72x = 95,691,740,891.19
  5. Step 5: Solve for x
    x = 95,691,740,891.19/337,907.72
  6. Step 6: Final answer
    x = 283,188.98

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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.