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Finding the Fourth Proportional to 362,143.53, 499,754.30 and 200,999.97

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Solution

The fourth proportional to 362,143.53, 499,754.30 and 200,999.97 is: 277,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,143.53 : 499,754.30 = 200,999.97 : x
  2. Step 2: Convert to fraction form
    362,143.53/499,754.30 = 200,999.97/x
  3. Step 3: Cross multiply
    362,143.53x = 499,754.30 × 200,999.97
  4. Step 4: Simplify right side
    362,143.53x = 100,450,598,302.37
  5. Step 5: Solve for x
    x = 100,450,598,302.37/362,143.53
  6. Step 6: Final answer
    x = 277,377.86

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1.5x scale

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.