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Finding the Fourth Proportional to 362,136.38, 499,733.40 and 200,998.22

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Solution

The fourth proportional to 362,136.38, 499,733.40 and 200,998.22 is: 277,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,136.38 : 499,733.40 = 200,998.22 : x
  2. Step 2: Convert to fraction form
    362,136.38/499,733.40 = 200,998.22/x
  3. Step 3: Cross multiply
    362,136.38x = 499,733.40 × 200,998.22
  4. Step 4: Simplify right side
    362,136.38x = 100,445,523,874.55
  5. Step 5: Solve for x
    x = 100,445,523,874.55/362,136.38
  6. Step 6: Final answer
    x = 277,369.33

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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.