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Finding the Fourth Proportional to 356,355.38, 491,770.55 and 195,216.23

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Solution

The fourth proportional to 356,355.38, 491,770.55 and 195,216.23 is: 269,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,355.38 : 491,770.55 = 195,216.23 : x
  2. Step 2: Convert to fraction form
    356,355.38/491,770.55 = 195,216.23/x
  3. Step 3: Cross multiply
    356,355.38x = 491,770.55 × 195,216.23
  4. Step 4: Simplify right side
    356,355.38x = 96,001,592,796.03
  5. Step 5: Solve for x
    x = 96,001,592,796.03/356,355.38
  6. Step 6: Final answer
    x = 269,398.47

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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.