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Finding the Fourth Proportional to 492,112.94, 737,906.96 and 254,867.18

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Solution

The fourth proportional to 492,112.94, 737,906.96 and 254,867.18 is: 382,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,112.94 : 737,906.96 = 254,867.18 : x
  2. Step 2: Convert to fraction form
    492,112.94/737,906.96 = 254,867.18/x
  3. Step 3: Cross multiply
    492,112.94x = 737,906.96 × 254,867.18
  4. Step 4: Simplify right side
    492,112.94x = 188,068,265,997.57
  5. Step 5: Solve for x
    x = 188,068,265,997.57/492,112.94
  6. Step 6: Final answer
    x = 382,164.85

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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.