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Finding the Fourth Proportional to 492,794.40, 680,057.24 and 266,439.90

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Solution

The fourth proportional to 492,794.40, 680,057.24 and 266,439.90 is: 367,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,794.40 : 680,057.24 = 266,439.90 : x
  2. Step 2: Convert to fraction form
    492,794.40/680,057.24 = 266,439.90/x
  3. Step 3: Cross multiply
    492,794.40x = 680,057.24 × 266,439.90
  4. Step 4: Simplify right side
    492,794.40x = 181,194,383,019.88
  5. Step 5: Solve for x
    x = 181,194,383,019.88/492,794.40
  6. Step 6: Final answer
    x = 367,687.59

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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.