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Finding the Fourth Proportional to 361,707.52, 499,162.38 and 200,569.36

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Solution

The fourth proportional to 361,707.52, 499,162.38 and 200,569.36 is: 276,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,707.52 : 499,162.38 = 200,569.36 : x
  2. Step 2: Convert to fraction form
    361,707.52/499,162.38 = 200,569.36/x
  3. Step 3: Cross multiply
    361,707.52x = 499,162.38 × 200,569.36
  4. Step 4: Simplify right side
    361,707.52x = 100,116,679,092.68
  5. Step 5: Solve for x
    x = 100,116,679,092.68/361,707.52
  6. Step 6: Final answer
    x = 276,789.05

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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.