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Finding the Fourth Proportional to 413,239.69, 570,231.38 and 231,910.05

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Solution

The fourth proportional to 413,239.69, 570,231.38 and 231,910.05 is: 320,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,239.69 : 570,231.38 = 231,910.05 : x
  2. Step 2: Convert to fraction form
    413,239.69/570,231.38 = 231,910.05/x
  3. Step 3: Cross multiply
    413,239.69x = 570,231.38 × 231,910.05
  4. Step 4: Simplify right side
    413,239.69x = 132,242,385,262.24
  5. Step 5: Solve for x
    x = 132,242,385,262.24/413,239.69
  6. Step 6: Final answer
    x = 320,013.76

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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.