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Finding the Fourth Proportional to 361,627.79, 499,058.13 and 200,497.82

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Solution

The fourth proportional to 361,627.79, 499,058.13 and 200,497.82 is: 276,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,627.79 : 499,058.13 = 200,497.82 : x
  2. Step 2: Convert to fraction form
    361,627.79/499,058.13 = 200,497.82/x
  3. Step 3: Cross multiply
    361,627.79x = 499,058.13 × 200,497.82
  4. Step 4: Simplify right side
    361,627.79x = 100,060,067,118.28
  5. Step 5: Solve for x
    x = 100,060,067,118.28/361,627.79
  6. Step 6: Final answer
    x = 276,693.52

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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.