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Finding the Fourth Proportional to 433,114.30, 649,659.30 and 196,456.60

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Solution

The fourth proportional to 433,114.30, 649,659.30 and 196,456.60 is: 294,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,114.30 : 649,659.30 = 196,456.60 : x
  2. Step 2: Convert to fraction form
    433,114.30/649,659.30 = 196,456.60/x
  3. Step 3: Cross multiply
    433,114.30x = 649,659.30 × 196,456.60
  4. Step 4: Simplify right side
    433,114.30x = 127,629,857,236.38
  5. Step 5: Solve for x
    x = 127,629,857,236.38/433,114.30
  6. Step 6: Final answer
    x = 294,679.39

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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.