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Finding the Fourth Proportional to 378,546.44, 567,898.03 and 153,906.91

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Solution

The fourth proportional to 378,546.44, 567,898.03 and 153,906.91 is: 230,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,546.44 : 567,898.03 = 153,906.91 : x
  2. Step 2: Convert to fraction form
    378,546.44/567,898.03 = 153,906.91/x
  3. Step 3: Cross multiply
    378,546.44x = 567,898.03 × 153,906.91
  4. Step 4: Simplify right side
    378,546.44x = 87,403,432,027.37
  5. Step 5: Solve for x
    x = 87,403,432,027.37/378,546.44
  6. Step 6: Final answer
    x = 230,892.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.