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Finding the Fourth Proportional to 343,383.60, 515,183.40 and 165,896.40

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Solution

The fourth proportional to 343,383.60, 515,183.40 and 165,896.40 is: 248,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,383.60 : 515,183.40 = 165,896.40 : x
  2. Step 2: Convert to fraction form
    343,383.60/515,183.40 = 165,896.40/x
  3. Step 3: Cross multiply
    343,383.60x = 515,183.40 × 165,896.40
  4. Step 4: Simplify right side
    343,383.60x = 85,467,071,399.76
  5. Step 5: Solve for x
    x = 85,467,071,399.76/343,383.60
  6. Step 6: Final answer
    x = 248,896.78

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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.