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Finding the Fourth Proportional to 492,782.72, 680,039.85 and 277,922.27

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Solution

The fourth proportional to 492,782.72, 680,039.85 and 277,922.27 is: 383,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,782.72 : 680,039.85 = 277,922.27 : x
  2. Step 2: Convert to fraction form
    492,782.72/680,039.85 = 277,922.27/x
  3. Step 3: Cross multiply
    492,782.72x = 680,039.85 × 277,922.27
  4. Step 4: Simplify right side
    492,782.72x = 188,998,215,402.26
  5. Step 5: Solve for x
    x = 188,998,215,402.26/492,782.72
  6. Step 6: Final answer
    x = 383,532.56

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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.