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Finding the Fourth Proportional to 344,357.76, 475,171.20 and 199,188.48

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Solution

The fourth proportional to 344,357.76, 475,171.20 and 199,188.48 is: 274,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,357.76 : 475,171.20 = 199,188.48 : x
  2. Step 2: Convert to fraction form
    344,357.76/475,171.20 = 199,188.48/x
  3. Step 3: Cross multiply
    344,357.76x = 475,171.20 × 199,188.48
  4. Step 4: Simplify right side
    344,357.76x = 94,648,629,067.78
  5. Step 5: Solve for x
    x = 94,648,629,067.78/344,357.76
  6. Step 6: Final answer
    x = 274,855.51

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1.5x scale

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.