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Finding the Fourth Proportional to 356,297.39, 491,690.45 and 195,158.19

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Solution

The fourth proportional to 356,297.39, 491,690.45 and 195,158.19 is: 269,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,297.39 : 491,690.45 = 195,158.19 : x
  2. Step 2: Convert to fraction form
    356,297.39/491,690.45 = 195,158.19/x
  3. Step 3: Cross multiply
    356,297.39x = 491,690.45 × 195,158.19
  4. Step 4: Simplify right side
    356,297.39x = 95,957,420,594.02
  5. Step 5: Solve for x
    x = 95,957,420,594.02/356,297.39
  6. Step 6: Final answer
    x = 269,318.34

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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.