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Finding the Fourth Proportional to 361,790.53, 499,301.60 and 200,697.48

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Solution

The fourth proportional to 361,790.53, 499,301.60 and 200,697.48 is: 276,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,790.53 : 499,301.60 = 200,697.48 : x
  2. Step 2: Convert to fraction form
    361,790.53/499,301.60 = 200,697.48/x
  3. Step 3: Cross multiply
    361,790.53x = 499,301.60 × 200,697.48
  4. Step 4: Simplify right side
    361,790.53x = 100,208,571,876.48
  5. Step 5: Solve for x
    x = 100,208,571,876.48/361,790.53
  6. Step 6: Final answer
    x = 276,979.53

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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.