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Finding the Fourth Proportional to 341,497.26, 512,086.32 and 199,383.57

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Solution

The fourth proportional to 341,497.26, 512,086.32 and 199,383.57 is: 298,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,497.26 : 512,086.32 = 199,383.57 : x
  2. Step 2: Convert to fraction form
    341,497.26/512,086.32 = 199,383.57/x
  3. Step 3: Cross multiply
    341,497.26x = 512,086.32 × 199,383.57
  4. Step 4: Simplify right side
    341,497.26x = 102,101,598,629.76
  5. Step 5: Solve for x
    x = 102,101,598,629.76/341,497.26
  6. Step 6: Final answer
    x = 298,982.19

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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.