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Finding the Fourth Proportional to 361,842.60, 499,402.58 and 200,749.55

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Solution

The fourth proportional to 361,842.60, 499,402.58 and 200,749.55 is: 277,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,842.60 : 499,402.58 = 200,749.55 : x
  2. Step 2: Convert to fraction form
    361,842.60/499,402.58 = 200,749.55/x
  3. Step 3: Cross multiply
    361,842.60x = 499,402.58 × 200,749.55
  4. Step 4: Simplify right side
    361,842.60x = 100,254,842,200.09
  5. Step 5: Solve for x
    x = 100,254,842,200.09/361,842.60
  6. Step 6: Final answer
    x = 277,067.55

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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.