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Finding the Fourth Proportional to 413,187.23, 570,126.38 and 231,906.80

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Solution

The fourth proportional to 413,187.23, 570,126.38 and 231,906.80 is: 319,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,187.23 : 570,126.38 = 231,906.80 : x
  2. Step 2: Convert to fraction form
    413,187.23/570,126.38 = 231,906.80/x
  3. Step 3: Cross multiply
    413,187.23x = 570,126.38 × 231,906.80
  4. Step 4: Simplify right side
    413,187.23x = 132,216,180,371.22
  5. Step 5: Solve for x
    x = 132,216,180,371.22/413,187.23
  6. Step 6: Final answer
    x = 319,990.97

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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.