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Finding the Fourth Proportional to 344,219.50, 475,067.46 and 193,316.50

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Solution

The fourth proportional to 344,219.50, 475,067.46 and 193,316.50 is: 266,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,219.50 : 475,067.46 = 193,316.50 : x
  2. Step 2: Convert to fraction form
    344,219.50/475,067.46 = 193,316.50/x
  3. Step 3: Cross multiply
    344,219.50x = 475,067.46 × 193,316.50
  4. Step 4: Simplify right side
    344,219.50x = 91,838,378,631.09
  5. Step 5: Solve for x
    x = 91,838,378,631.09/344,219.50
  6. Step 6: Final answer
    x = 266,801.79

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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.