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Finding the Fourth Proportional to 308,963.10, 464,221.08 and 196,693.44

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Solution

The fourth proportional to 308,963.10, 464,221.08 and 196,693.44 is: 295,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,963.10 : 464,221.08 = 196,693.44 : x
  2. Step 2: Convert to fraction form
    308,963.10/464,221.08 = 196,693.44/x
  3. Step 3: Cross multiply
    308,963.10x = 464,221.08 × 196,693.44
  4. Step 4: Simplify right side
    308,963.10x = 91,309,241,145.72
  5. Step 5: Solve for x
    x = 91,309,241,145.72/308,963.10
  6. Step 6: Final answer
    x = 295,534.45

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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.