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Finding the Fourth Proportional to 492,778.62, 680,057.64 and 277,914.24

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Solution

The fourth proportional to 492,778.62, 680,057.64 and 277,914.24 is: 383,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,778.62 : 680,057.64 = 277,914.24 : x
  2. Step 2: Convert to fraction form
    492,778.62/680,057.64 = 277,914.24/x
  3. Step 3: Cross multiply
    492,778.62x = 680,057.64 × 277,914.24
  4. Step 4: Simplify right side
    492,778.62x = 188,997,702,176.79
  5. Step 5: Solve for x
    x = 188,997,702,176.79/492,778.62
  6. Step 6: Final answer
    x = 383,534.70

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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.