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Finding the Fourth Proportional to 365,003.46, 503,655 and 203,837.96

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Solution

The fourth proportional to 365,003.46, 503,655 and 203,837.96 is: 281,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,003.46 : 503,655 = 203,837.96 : x
  2. Step 2: Convert to fraction form
    365,003.46/503,655 = 203,837.96/x
  3. Step 3: Cross multiply
    365,003.46x = 503,655 × 203,837.96
  4. Step 4: Simplify right side
    365,003.46x = 102,664,007,743.80
  5. Step 5: Solve for x
    x = 102,664,007,743.80/365,003.46
  6. Step 6: Final answer
    x = 281,268.59

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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.