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Finding the Fourth Proportional to 361,093.76, 498,295.68 and 199,936

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Solution

The fourth proportional to 361,093.76, 498,295.68 and 199,936 is: 275,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,093.76 : 498,295.68 = 199,936 : x
  2. Step 2: Convert to fraction form
    361,093.76/498,295.68 = 199,936/x
  3. Step 3: Cross multiply
    361,093.76x = 498,295.68 × 199,936
  4. Step 4: Simplify right side
    361,093.76x = 99,627,245,076.48
  5. Step 5: Solve for x
    x = 99,627,245,076.48/361,093.76
  6. Step 6: Final answer
    x = 275,904.09

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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.