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Finding the Fourth Proportional to 365,745.58, 504,708.60 and 204,569.49

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Solution

The fourth proportional to 365,745.58, 504,708.60 and 204,569.49 is: 282,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,745.58 : 504,708.60 = 204,569.49 : x
  2. Step 2: Convert to fraction form
    365,745.58/504,708.60 = 204,569.49/x
  3. Step 3: Cross multiply
    365,745.58x = 504,708.60 × 204,569.49
  4. Step 4: Simplify right side
    365,745.58x = 103,247,978,285.61
  5. Step 5: Solve for x
    x = 103,247,978,285.61/365,745.58
  6. Step 6: Final answer
    x = 282,294.54

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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.