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Finding the Fourth Proportional to 308,304, 425,459.52 and 166,992

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Solution

The fourth proportional to 308,304, 425,459.52 and 166,992 is: 230,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,304 : 425,459.52 = 166,992 : x
  2. Step 2: Convert to fraction form
    308,304/425,459.52 = 166,992/x
  3. Step 3: Cross multiply
    308,304x = 425,459.52 × 166,992
  4. Step 4: Simplify right side
    308,304x = 71,048,336,163.84
  5. Step 5: Solve for x
    x = 71,048,336,163.84/308,304
  6. Step 6: Final answer
    x = 230,448.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.