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Finding the Fourth Proportional to 433,406.15, 650,178.48 and 133,816.31

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Solution

The fourth proportional to 433,406.15, 650,178.48 and 133,816.31 is: 200,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,406.15 : 650,178.48 = 133,816.31 : x
  2. Step 2: Convert to fraction form
    433,406.15/650,178.48 = 133,816.31/x
  3. Step 3: Cross multiply
    433,406.15x = 650,178.48 × 133,816.31
  4. Step 4: Simplify right side
    433,406.15x = 87,004,485,035.01
  5. Step 5: Solve for x
    x = 87,004,485,035.01/433,406.15
  6. Step 6: Final answer
    x = 200,745.85

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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.