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Finding the Fourth Proportional to 433,247.17, 649,620.61 and 133,647.31

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Solution

The fourth proportional to 433,247.17, 649,620.61 and 133,647.31 is: 200,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,247.17 : 649,620.61 = 133,647.31 : x
  2. Step 2: Convert to fraction form
    433,247.17/649,620.61 = 133,647.31/x
  3. Step 3: Cross multiply
    433,247.17x = 649,620.61 × 133,647.31
  4. Step 4: Simplify right side
    433,247.17x = 86,820,043,798.96
  5. Step 5: Solve for x
    x = 86,820,043,798.96/433,247.17
  6. Step 6: Final answer
    x = 200,393.79

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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.