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Finding the Fourth Proportional to 361,129.74, 498,359.70 and 199,997.52

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Solution

The fourth proportional to 361,129.74, 498,359.70 and 199,997.52 is: 275,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,129.74 : 498,359.70 = 199,997.52 : x
  2. Step 2: Convert to fraction form
    361,129.74/498,359.70 = 199,997.52/x
  3. Step 3: Cross multiply
    361,129.74x = 498,359.70 × 199,997.52
  4. Step 4: Simplify right side
    361,129.74x = 99,670,704,067.94
  5. Step 5: Solve for x
    x = 99,670,704,067.94/361,129.74
  6. Step 6: Final answer
    x = 275,996.94

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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.