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Finding the Fourth Proportional to 433,107.90, 649,676.70 and 133,586.10

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Solution

The fourth proportional to 433,107.90, 649,676.70 and 133,586.10 is: 200,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,107.90 : 649,676.70 = 133,586.10 : x
  2. Step 2: Convert to fraction form
    433,107.90/649,676.70 = 133,586.10/x
  3. Step 3: Cross multiply
    433,107.90x = 649,676.70 × 133,586.10
  4. Step 4: Simplify right side
    433,107.90x = 86,787,776,613.87
  5. Step 5: Solve for x
    x = 86,787,776,613.87/433,107.90
  6. Step 6: Final answer
    x = 200,383.73

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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.