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Finding the Fourth Proportional to 365,801.92, 504,826.26 and 204,647.36

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Solution

The fourth proportional to 365,801.92, 504,826.26 and 204,647.36 is: 282,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,801.92 : 504,826.26 = 204,647.36 : x
  2. Step 2: Convert to fraction form
    365,801.92/504,826.26 = 204,647.36/x
  3. Step 3: Cross multiply
    365,801.92x = 504,826.26 × 204,647.36
  4. Step 4: Simplify right side
    365,801.92x = 103,311,358,076.12
  5. Step 5: Solve for x
    x = 103,311,358,076.12/365,801.92
  6. Step 6: Final answer
    x = 282,424.32

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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.