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Finding the Fourth Proportional to 365,097.90, 503,832.69 and 203,951.52

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Solution

The fourth proportional to 365,097.90, 503,832.69 and 203,951.52 is: 281,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,097.90 : 503,832.69 = 203,951.52 : x
  2. Step 2: Convert to fraction form
    365,097.90/503,832.69 = 203,951.52/x
  3. Step 3: Cross multiply
    365,097.90x = 503,832.69 × 203,951.52
  4. Step 4: Simplify right side
    365,097.90x = 102,757,442,951.19
  5. Step 5: Solve for x
    x = 102,757,442,951.19/365,097.90
  6. Step 6: Final answer
    x = 281,451.75

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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.