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Finding the Fourth Proportional to 493,282.91, 680,787.86 and 410,350.39

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Solution

The fourth proportional to 493,282.91, 680,787.86 and 410,350.39 is: 566,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,282.91 : 680,787.86 = 410,350.39 : x
  2. Step 2: Convert to fraction form
    493,282.91/680,787.86 = 410,350.39/x
  3. Step 3: Cross multiply
    493,282.91x = 680,787.86 × 410,350.39
  4. Step 4: Simplify right side
    493,282.91x = 279,361,560,104.54
  5. Step 5: Solve for x
    x = 279,361,560,104.54/493,282.91
  6. Step 6: Final answer
    x = 566,331.31

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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.