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Finding the Fourth Proportional to 433,203.91, 649,892.49 and 133,673.23

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Solution

The fourth proportional to 433,203.91, 649,892.49 and 133,673.23 is: 200,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,203.91 : 649,892.49 = 133,673.23 : x
  2. Step 2: Convert to fraction form
    433,203.91/649,892.49 = 133,673.23/x
  3. Step 3: Cross multiply
    433,203.91x = 649,892.49 × 133,673.23
  4. Step 4: Simplify right side
    433,203.91x = 86,873,228,291.04
  5. Step 5: Solve for x
    x = 86,873,228,291.04/433,203.91
  6. Step 6: Final answer
    x = 200,536.57

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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.