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Finding the Fourth Proportional to 308,892.24, 463,290.78 and 84,270.96

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Solution

The fourth proportional to 308,892.24, 463,290.78 and 84,270.96 is: 126,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,892.24 : 463,290.78 = 84,270.96 : x
  2. Step 2: Convert to fraction form
    308,892.24/463,290.78 = 84,270.96/x
  3. Step 3: Cross multiply
    308,892.24x = 463,290.78 × 84,270.96
  4. Step 4: Simplify right side
    308,892.24x = 39,041,958,789.75
  5. Step 5: Solve for x
    x = 39,041,958,789.75/308,892.24
  6. Step 6: Final answer
    x = 126,393.46

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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.