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Finding the Fourth Proportional to 433,191.33, 649,805.44 and 133,665.28

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Solution

The fourth proportional to 433,191.33, 649,805.44 and 133,665.28 is: 200,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,191.33 : 649,805.44 = 133,665.28 : x
  2. Step 2: Convert to fraction form
    433,191.33/649,805.44 = 133,665.28/x
  3. Step 3: Cross multiply
    433,191.33x = 649,805.44 × 133,665.28
  4. Step 4: Simplify right side
    433,191.33x = 86,856,426,083.12
  5. Step 5: Solve for x
    x = 86,856,426,083.12/433,191.33
  6. Step 6: Final answer
    x = 200,503.61

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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.