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Finding the Fourth Proportional to 365,238.08, 504,018.87 and 204,094.46

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Solution

The fourth proportional to 365,238.08, 504,018.87 and 204,094.46 is: 281,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,238.08 : 504,018.87 = 204,094.46 : x
  2. Step 2: Convert to fraction form
    365,238.08/504,018.87 = 204,094.46/x
  3. Step 3: Cross multiply
    365,238.08x = 504,018.87 × 204,094.46
  4. Step 4: Simplify right side
    365,238.08x = 102,867,456,582.37
  5. Step 5: Solve for x
    x = 102,867,456,582.37/365,238.08
  6. Step 6: Final answer
    x = 281,644.94

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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.