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Finding the Fourth Proportional to 492,778.98, 680,034.92 and 266,424.48

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Solution

The fourth proportional to 492,778.98, 680,034.92 and 266,424.48 is: 367,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,778.98 : 680,034.92 = 266,424.48 : x
  2. Step 2: Convert to fraction form
    492,778.98/680,034.92 = 266,424.48/x
  3. Step 3: Cross multiply
    492,778.98x = 680,034.92 × 266,424.48
  4. Step 4: Simplify right side
    492,778.98x = 181,177,949,942.84
  5. Step 5: Solve for x
    x = 181,177,949,942.84/492,778.98
  6. Step 6: Final answer
    x = 367,665.74

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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.