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Finding the Fourth Proportional to 333,884.46, 500,158.89 and 200,692.38

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Solution

The fourth proportional to 333,884.46, 500,158.89 and 200,692.38 is: 300,637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,884.46 : 500,158.89 = 200,692.38 : x
  2. Step 2: Convert to fraction form
    333,884.46/500,158.89 = 200,692.38/x
  3. Step 3: Cross multiply
    333,884.46x = 500,158.89 × 200,692.38
  4. Step 4: Simplify right side
    333,884.46x = 100,378,078,012.26
  5. Step 5: Solve for x
    x = 100,378,078,012.26/333,884.46
  6. Step 6: Final answer
    x = 300,637.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.