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Finding the Fourth Proportional to 263,433.86, 395,034.14 and 189,250.82

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Solution

The fourth proportional to 263,433.86, 395,034.14 and 189,250.82 is: 283,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,433.86 : 395,034.14 = 189,250.82 : x
  2. Step 2: Convert to fraction form
    263,433.86/395,034.14 = 189,250.82/x
  3. Step 3: Cross multiply
    263,433.86x = 395,034.14 × 189,250.82
  4. Step 4: Simplify right side
    263,433.86x = 74,760,534,922.99
  5. Step 5: Solve for x
    x = 74,760,534,922.99/263,433.86
  6. Step 6: Final answer
    x = 283,792.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.