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Finding the Fourth Proportional to 365,103.56, 503,824.92 and 203,926.52

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Solution

The fourth proportional to 365,103.56, 503,824.92 and 203,926.52 is: 281,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,103.56 : 503,824.92 = 203,926.52 : x
  2. Step 2: Convert to fraction form
    365,103.56/503,824.92 = 203,926.52/x
  3. Step 3: Cross multiply
    365,103.56x = 503,824.92 × 203,926.52
  4. Step 4: Simplify right side
    365,103.56x = 102,743,262,624.88
  5. Step 5: Solve for x
    x = 102,743,262,624.88/365,103.56
  6. Step 6: Final answer
    x = 281,408.55

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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.