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Finding the Fourth Proportional to 365,738.82, 504,739.17 and 204,584.27

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Solution

The fourth proportional to 365,738.82, 504,739.17 and 204,584.27 is: 282,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,738.82 : 504,739.17 = 204,584.27 : x
  2. Step 2: Convert to fraction form
    365,738.82/504,739.17 = 204,584.27/x
  3. Step 3: Cross multiply
    365,738.82x = 504,739.17 × 204,584.27
  4. Step 4: Simplify right side
    365,738.82x = 103,261,692,111.16
  5. Step 5: Solve for x
    x = 103,261,692,111.16/365,738.82
  6. Step 6: Final answer
    x = 282,337.25

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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.