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Finding the Fourth Proportional to 361,708, 499,163.04 and 200,569.84

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Solution

The fourth proportional to 361,708, 499,163.04 and 200,569.84 is: 276,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,708 : 499,163.04 = 200,569.84 : x
  2. Step 2: Convert to fraction form
    361,708/499,163.04 = 200,569.84/x
  3. Step 3: Cross multiply
    361,708x = 499,163.04 × 200,569.84
  4. Step 4: Simplify right side
    361,708x = 100,117,051,066.71
  5. Step 5: Solve for x
    x = 100,117,051,066.71/361,708
  6. Step 6: Final answer
    x = 276,789.71

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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.