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Finding the Fourth Proportional to 256,395.67, 353,596.18 and 213,517.15

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Solution

The fourth proportional to 256,395.67, 353,596.18 and 213,517.15 is: 294,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,395.67 : 353,596.18 = 213,517.15 : x
  2. Step 2: Convert to fraction form
    256,395.67/353,596.18 = 213,517.15/x
  3. Step 3: Cross multiply
    256,395.67x = 353,596.18 × 213,517.15
  4. Step 4: Simplify right side
    256,395.67x = 75,498,848,604.49
  5. Step 5: Solve for x
    x = 75,498,848,604.49/256,395.67
  6. Step 6: Final answer
    x = 294,462.26

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1.5x scale

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.