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Finding the Fourth Proportional to 433,412.73, 650,181.29 and 133,919.46

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Solution

The fourth proportional to 433,412.73, 650,181.29 and 133,919.46 is: 200,898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,412.73 : 650,181.29 = 133,919.46 : x
  2. Step 2: Convert to fraction form
    433,412.73/650,181.29 = 133,919.46/x
  3. Step 3: Cross multiply
    433,412.73x = 650,181.29 × 133,919.46
  4. Step 4: Simplify right side
    433,412.73x = 87,071,926,589.31
  5. Step 5: Solve for x
    x = 87,071,926,589.31/433,412.73
  6. Step 6: Final answer
    x = 200,898.41

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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.