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Finding the Fourth Proportional to 433,244.30, 649,616.30 and 133,644.43

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Solution

The fourth proportional to 433,244.30, 649,616.30 and 133,644.43 is: 200,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,244.30 : 649,616.30 = 133,644.43 : x
  2. Step 2: Convert to fraction form
    433,244.30/649,616.30 = 133,644.43/x
  3. Step 3: Cross multiply
    433,244.30x = 649,616.30 × 133,644.43
  4. Step 4: Simplify right side
    433,244.30x = 86,817,601,528.92
  5. Step 5: Solve for x
    x = 86,817,601,528.92/433,244.30
  6. Step 6: Final answer
    x = 200,389.49

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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.