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Finding the Fourth Proportional to 365,596.52, 504,408.42 and 204,429.80

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Solution

The fourth proportional to 365,596.52, 504,408.42 and 204,429.80 is: 282,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,596.52 : 504,408.42 = 204,429.80 : x
  2. Step 2: Convert to fraction form
    365,596.52/504,408.42 = 204,429.80/x
  3. Step 3: Cross multiply
    365,596.52x = 504,408.42 × 204,429.80
  4. Step 4: Simplify right side
    365,596.52x = 103,116,112,418.92
  5. Step 5: Solve for x
    x = 103,116,112,418.92/365,596.52
  6. Step 6: Final answer
    x = 282,048.94

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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.