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Finding the Fourth Proportional to 344,900.10, 475,977.69 and 193,997.10

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Solution

The fourth proportional to 344,900.10, 475,977.69 and 193,997.10 is: 267,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,900.10 : 475,977.69 = 193,997.10 : x
  2. Step 2: Convert to fraction form
    344,900.10/475,977.69 = 193,997.10/x
  3. Step 3: Cross multiply
    344,900.10x = 475,977.69 × 193,997.10
  4. Step 4: Simplify right side
    344,900.10x = 92,338,291,524.70
  5. Step 5: Solve for x
    x = 92,338,291,524.70/344,900.10
  6. Step 6: Final answer
    x = 267,724.75

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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.