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Finding the Fourth Proportional to 492,876.78, 680,169.75 and 266,522.28

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Solution

The fourth proportional to 492,876.78, 680,169.75 and 266,522.28 is: 367,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,876.78 : 680,169.75 = 266,522.28 : x
  2. Step 2: Convert to fraction form
    492,876.78/680,169.75 = 266,522.28/x
  3. Step 3: Cross multiply
    492,876.78x = 680,169.75 × 266,522.28
  4. Step 4: Simplify right side
    492,876.78x = 181,280,392,557.03
  5. Step 5: Solve for x
    x = 181,280,392,557.03/492,876.78
  6. Step 6: Final answer
    x = 367,800.63

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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.