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Finding the Fourth Proportional to 492,783.37, 680,040.92 and 277,922.97

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Solution

The fourth proportional to 492,783.37, 680,040.92 and 277,922.97 is: 383,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,783.37 : 680,040.92 = 277,922.97 : x
  2. Step 2: Convert to fraction form
    492,783.37/680,040.92 = 277,922.97/x
  3. Step 3: Cross multiply
    492,783.37x = 680,040.92 × 277,922.97
  4. Step 4: Simplify right side
    492,783.37x = 188,998,992,902.74
  5. Step 5: Solve for x
    x = 188,998,992,902.74/492,783.37
  6. Step 6: Final answer
    x = 383,533.63

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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.