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Finding the Fourth Proportional to 365,743.07, 504,745.04 and 204,588.52

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Solution

The fourth proportional to 365,743.07, 504,745.04 and 204,588.52 is: 282,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,743.07 : 504,745.04 = 204,588.52 : x
  2. Step 2: Convert to fraction form
    365,743.07/504,745.04 = 204,588.52/x
  3. Step 3: Cross multiply
    365,743.07x = 504,745.04 × 204,588.52
  4. Step 4: Simplify right side
    365,743.07x = 103,265,040,710.94
  5. Step 5: Solve for x
    x = 103,265,040,710.94/365,743.07
  6. Step 6: Final answer
    x = 282,343.12

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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.