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Finding the Fourth Proportional to 492,894.91, 680,195.01 and 266,540.41

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Solution

The fourth proportional to 492,894.91, 680,195.01 and 266,540.41 is: 367,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,894.91 : 680,195.01 = 266,540.41 : x
  2. Step 2: Convert to fraction form
    492,894.91/680,195.01 = 266,540.41/x
  3. Step 3: Cross multiply
    492,894.91x = 680,195.01 × 266,540.41
  4. Step 4: Simplify right side
    492,894.91x = 181,299,456,845.35
  5. Step 5: Solve for x
    x = 181,299,456,845.35/492,894.91
  6. Step 6: Final answer
    x = 367,825.78

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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.