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Finding the Fourth Proportional to 362,146.83, 499,753.02 and 200,997.72

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Solution

The fourth proportional to 362,146.83, 499,753.02 and 200,997.72 is: 277,371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,146.83 : 499,753.02 = 200,997.72 : x
  2. Step 2: Convert to fraction form
    362,146.83/499,753.02 = 200,997.72/x
  3. Step 3: Cross multiply
    362,146.83x = 499,753.02 × 200,997.72
  4. Step 4: Simplify right side
    362,146.83x = 100,449,217,583.11
  5. Step 5: Solve for x
    x = 100,449,217,583.11/362,146.83
  6. Step 6: Final answer
    x = 277,371.52

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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.