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Finding the Fourth Proportional to 365,997.33, 505,076.17 and 204,852.35

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Solution

The fourth proportional to 365,997.33, 505,076.17 and 204,852.35 is: 282,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,997.33 : 505,076.17 = 204,852.35 : x
  2. Step 2: Convert to fraction form
    365,997.33/505,076.17 = 204,852.35/x
  3. Step 3: Cross multiply
    365,997.33x = 505,076.17 × 204,852.35
  4. Step 4: Simplify right side
    365,997.33x = 103,466,040,353.50
  5. Step 5: Solve for x
    x = 103,466,040,353.50/365,997.33
  6. Step 6: Final answer
    x = 282,696.16

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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.