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Finding the Fourth Proportional to 331,133.25, 456,964.76 and 187,892.91

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Solution

The fourth proportional to 331,133.25, 456,964.76 and 187,892.91 is: 259,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,133.25 : 456,964.76 = 187,892.91 : x
  2. Step 2: Convert to fraction form
    331,133.25/456,964.76 = 187,892.91/x
  3. Step 3: Cross multiply
    331,133.25x = 456,964.76 × 187,892.91
  4. Step 4: Simplify right side
    331,133.25x = 85,860,438,523.85
  5. Step 5: Solve for x
    x = 85,860,438,523.85/331,133.25
  6. Step 6: Final answer
    x = 259,292.71

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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.