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Finding the Fourth Proportional to 492,524.11, 739,118.31 and 192,967.12

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Solution

The fourth proportional to 492,524.11, 739,118.31 and 192,967.12 is: 289,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,524.11 : 739,118.31 = 192,967.12 : x
  2. Step 2: Convert to fraction form
    492,524.11/739,118.31 = 192,967.12/x
  3. Step 3: Cross multiply
    492,524.11x = 739,118.31 × 192,967.12
  4. Step 4: Simplify right side
    492,524.11x = 142,625,531,619.97
  5. Step 5: Solve for x
    x = 142,625,531,619.97/492,524.11
  6. Step 6: Final answer
    x = 289,580.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.