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Finding the Fourth Proportional to 413,137.33, 570,151.26 and 231,839.89

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Solution

The fourth proportional to 413,137.33, 570,151.26 and 231,839.89 is: 319,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,137.33 : 570,151.26 = 231,839.89 : x
  2. Step 2: Convert to fraction form
    413,137.33/570,151.26 = 231,839.89/x
  3. Step 3: Cross multiply
    413,137.33x = 570,151.26 × 231,839.89
  4. Step 4: Simplify right side
    413,137.33x = 132,183,805,401.76
  5. Step 5: Solve for x
    x = 132,183,805,401.76/413,137.33
  6. Step 6: Final answer
    x = 319,951.25

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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.