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Finding the Fourth Proportional to 336,546.32, 504,823.90 and 111,906.78

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Solution

The fourth proportional to 336,546.32, 504,823.90 and 111,906.78 is: 167,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,546.32 : 504,823.90 = 111,906.78 : x
  2. Step 2: Convert to fraction form
    336,546.32/504,823.90 = 111,906.78/x
  3. Step 3: Cross multiply
    336,546.32x = 504,823.90 × 111,906.78
  4. Step 4: Simplify right side
    336,546.32x = 56,493,217,116.04
  5. Step 5: Solve for x
    x = 56,493,217,116.04/336,546.32
  6. Step 6: Final answer
    x = 167,861.64

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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.