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Finding the Fourth Proportional to 503,505.06, 694,851.75 and 274,077.31

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Solution

The fourth proportional to 503,505.06, 694,851.75 and 274,077.31 is: 378,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,505.06 : 694,851.75 = 274,077.31 : x
  2. Step 2: Convert to fraction form
    503,505.06/694,851.75 = 274,077.31/x
  3. Step 3: Cross multiply
    503,505.06x = 694,851.75 × 274,077.31
  4. Step 4: Simplify right side
    503,505.06x = 190,443,097,540.62
  5. Step 5: Solve for x
    x = 190,443,097,540.62/503,505.06
  6. Step 6: Final answer
    x = 378,234.73

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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.