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Finding the Fourth Proportional to 300,832.50, 415,153.44 and 164,865.34

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Solution

The fourth proportional to 300,832.50, 415,153.44 and 164,865.34 is: 227,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,832.50 : 415,153.44 = 164,865.34 : x
  2. Step 2: Convert to fraction form
    300,832.50/415,153.44 = 164,865.34/x
  3. Step 3: Cross multiply
    300,832.50x = 415,153.44 × 164,865.34
  4. Step 4: Simplify right side
    300,832.50x = 68,444,414,255.04
  5. Step 5: Solve for x
    x = 68,444,414,255.04/300,832.50
  6. Step 6: Final answer
    x = 227,516.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.