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Finding the Fourth Proportional to 217,251.84, 298,086.40 and 213,524.48

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Solution

The fourth proportional to 217,251.84, 298,086.40 and 213,524.48 is: 292,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,251.84 : 298,086.40 = 213,524.48 : x
  2. Step 2: Convert to fraction form
    217,251.84/298,086.40 = 213,524.48/x
  3. Step 3: Cross multiply
    217,251.84x = 298,086.40 × 213,524.48
  4. Step 4: Simplify right side
    217,251.84x = 63,648,743,555.07
  5. Step 5: Solve for x
    x = 63,648,743,555.07/217,251.84
  6. Step 6: Final answer
    x = 292,972.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.