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Finding the Fourth Proportional to 344,736.08, 475,732.68 and 193,834.16

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Solution

The fourth proportional to 344,736.08, 475,732.68 and 193,834.16 is: 267,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,736.08 : 475,732.68 = 193,834.16 : x
  2. Step 2: Convert to fraction form
    344,736.08/475,732.68 = 193,834.16/x
  3. Step 3: Cross multiply
    344,736.08x = 475,732.68 × 193,834.16
  4. Step 4: Simplify right side
    344,736.08x = 92,213,244,412.35
  5. Step 5: Solve for x
    x = 92,213,244,412.35/344,736.08
  6. Step 6: Final answer
    x = 267,489.39

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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.