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Finding the Fourth Proportional to 365,996.33, 505,074.79 and 204,851.35

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Solution

The fourth proportional to 365,996.33, 505,074.79 and 204,851.35 is: 282,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,996.33 : 505,074.79 = 204,851.35 : x
  2. Step 2: Convert to fraction form
    365,996.33/505,074.79 = 204,851.35/x
  3. Step 3: Cross multiply
    365,996.33x = 505,074.79 × 204,851.35
  4. Step 4: Simplify right side
    365,996.33x = 103,465,252,582.47
  5. Step 5: Solve for x
    x = 103,465,252,582.47/365,996.33
  6. Step 6: Final answer
    x = 282,694.78

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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.