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Finding the Fourth Proportional to 365,082.41, 503,814.81 and 201,735.38

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Solution

The fourth proportional to 365,082.41, 503,814.81 and 201,735.38 is: 278,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,082.41 : 503,814.81 = 201,735.38 : x
  2. Step 2: Convert to fraction form
    365,082.41/503,814.81 = 201,735.38/x
  3. Step 3: Cross multiply
    365,082.41x = 503,814.81 × 201,735.38
  4. Step 4: Simplify right side
    365,082.41x = 101,637,269,625.90
  5. Step 5: Solve for x
    x = 101,637,269,625.90/365,082.41
  6. Step 6: Final answer
    x = 278,395.42

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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.