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Finding the Fourth Proportional to 365,905.86, 504,942.07 and 200,333.49

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Solution

The fourth proportional to 365,905.86, 504,942.07 and 200,333.49 is: 276,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,905.86 : 504,942.07 = 200,333.49 : x
  2. Step 2: Convert to fraction form
    365,905.86/504,942.07 = 200,333.49/x
  3. Step 3: Cross multiply
    365,905.86x = 504,942.07 × 200,333.49
  4. Step 4: Simplify right side
    365,905.86x = 101,156,805,112.18
  5. Step 5: Solve for x
    x = 101,156,805,112.18/365,905.86
  6. Step 6: Final answer
    x = 276,455.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.