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Finding the Fourth Proportional to 365,083.41, 503,816.19 and 201,736.38

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Solution

The fourth proportional to 365,083.41, 503,816.19 and 201,736.38 is: 278,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,083.41 : 503,816.19 = 201,736.38 : x
  2. Step 2: Convert to fraction form
    365,083.41/503,816.19 = 201,736.38/x
  3. Step 3: Cross multiply
    365,083.41x = 503,816.19 × 201,736.38
  4. Step 4: Simplify right side
    365,083.41x = 101,638,054,355.99
  5. Step 5: Solve for x
    x = 101,638,054,355.99/365,083.41
  6. Step 6: Final answer
    x = 278,396.80

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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.