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Finding the Fourth Proportional to 425,427, 587,081.97 and 231,836.50

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Solution

The fourth proportional to 425,427, 587,081.97 and 231,836.50 is: 319,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,427 : 587,081.97 = 231,836.50 : x
  2. Step 2: Convert to fraction form
    425,427/587,081.97 = 231,836.50/x
  3. Step 3: Cross multiply
    425,427x = 587,081.97 × 231,836.50
  4. Step 4: Simplify right side
    425,427x = 136,107,026,202.50
  5. Step 5: Solve for x
    x = 136,107,026,202.50/425,427
  6. Step 6: Final answer
    x = 319,930.39

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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.