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Finding the Fourth Proportional to 362,071.42, 499,663.99 and 200,936.90

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Solution

The fourth proportional to 362,071.42, 499,663.99 and 200,936.90 is: 277,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,071.42 : 499,663.99 = 200,936.90 : x
  2. Step 2: Convert to fraction form
    362,071.42/499,663.99 = 200,936.90/x
  3. Step 3: Cross multiply
    362,071.42x = 499,663.99 × 200,936.90
  4. Step 4: Simplify right side
    362,071.42x = 100,400,934,692.56
  5. Step 5: Solve for x
    x = 100,400,934,692.56/362,071.42
  6. Step 6: Final answer
    x = 277,295.94

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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.