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Finding the Fourth Proportional to 308,677.52, 463,791.36 and 196,406.60

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Solution

The fourth proportional to 308,677.52, 463,791.36 and 196,406.60 is: 295,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,677.52 : 463,791.36 = 196,406.60 : x
  2. Step 2: Convert to fraction form
    308,677.52/463,791.36 = 196,406.60/x
  3. Step 3: Cross multiply
    308,677.52x = 463,791.36 × 196,406.60
  4. Step 4: Simplify right side
    308,677.52x = 91,091,684,126.98
  5. Step 5: Solve for x
    x = 91,091,684,126.98/308,677.52
  6. Step 6: Final answer
    x = 295,103.07

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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.