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Finding the Fourth Proportional to 492,794.42, 680,057.26 and 266,439.92

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Solution

The fourth proportional to 492,794.42, 680,057.26 and 266,439.92 is: 367,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,794.42 : 680,057.26 = 266,439.92 : x
  2. Step 2: Convert to fraction form
    492,794.42/680,057.26 = 266,439.92/x
  3. Step 3: Cross multiply
    492,794.42x = 680,057.26 × 266,439.92
  4. Step 4: Simplify right side
    492,794.42x = 181,194,401,949.82
  5. Step 5: Solve for x
    x = 181,194,401,949.82/492,794.42
  6. Step 6: Final answer
    x = 367,687.61

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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.