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Finding the Fourth Proportional to 276,687.84, 414,366.42 and 157,999.44

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Solution

The fourth proportional to 276,687.84, 414,366.42 and 157,999.44 is: 236,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,687.84 : 414,366.42 = 157,999.44 : x
  2. Step 2: Convert to fraction form
    276,687.84/414,366.42 = 157,999.44/x
  3. Step 3: Cross multiply
    276,687.84x = 414,366.42 × 157,999.44
  4. Step 4: Simplify right side
    276,687.84x = 65,469,662,314.80
  5. Step 5: Solve for x
    x = 65,469,662,314.80/276,687.84
  6. Step 6: Final answer
    x = 236,619.23

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1.5x scale

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.