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Finding the Fourth Proportional to 308,969.20, 463,453.80 and 131,431.60

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Solution

The fourth proportional to 308,969.20, 463,453.80 and 131,431.60 is: 197,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,969.20 : 463,453.80 = 131,431.60 : x
  2. Step 2: Convert to fraction form
    308,969.20/463,453.80 = 131,431.60/x
  3. Step 3: Cross multiply
    308,969.20x = 463,453.80 × 131,431.60
  4. Step 4: Simplify right side
    308,969.20x = 60,912,474,460.08
  5. Step 5: Solve for x
    x = 60,912,474,460.08/308,969.20
  6. Step 6: Final answer
    x = 197,147.40

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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.