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Finding the Fourth Proportional to 362,020.56, 499,580.70 and 200,872.14

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Solution

The fourth proportional to 362,020.56, 499,580.70 and 200,872.14 is: 277,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,020.56 : 499,580.70 = 200,872.14 : x
  2. Step 2: Convert to fraction form
    362,020.56/499,580.70 = 200,872.14/x
  3. Step 3: Cross multiply
    362,020.56x = 499,580.70 × 200,872.14
  4. Step 4: Simplify right side
    362,020.56x = 100,351,844,311.70
  5. Step 5: Solve for x
    x = 100,351,844,311.70/362,020.56
  6. Step 6: Final answer
    x = 277,199.30

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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.