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Finding the Fourth Proportional to 361,101.55, 498,319.83 and 199,956.60

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Solution

The fourth proportional to 361,101.55, 498,319.83 and 199,956.60 is: 275,939.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,101.55 : 498,319.83 = 199,956.60 : x
  2. Step 2: Convert to fraction form
    361,101.55/498,319.83 = 199,956.60/x
  3. Step 3: Cross multiply
    361,101.55x = 498,319.83 × 199,956.60
  4. Step 4: Simplify right side
    361,101.55x = 99,642,338,919.38
  5. Step 5: Solve for x
    x = 99,642,338,919.38/361,101.55
  6. Step 6: Final answer
    x = 275,939.94

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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.