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Finding the Fourth Proportional to 502,932.92, 694,033.58 and 276,578.42

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Solution

The fourth proportional to 502,932.92, 694,033.58 and 276,578.42 is: 381,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,932.92 : 694,033.58 = 276,578.42 : x
  2. Step 2: Convert to fraction form
    502,932.92/694,033.58 = 276,578.42/x
  3. Step 3: Cross multiply
    502,932.92x = 694,033.58 × 276,578.42
  4. Step 4: Simplify right side
    502,932.92x = 191,954,708,204.62
  5. Step 5: Solve for x
    x = 191,954,708,204.62/502,932.92
  6. Step 6: Final answer
    x = 381,670.60

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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.