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Finding the Fourth Proportional to 222,478.40, 334,495.20 and 217,812.80

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Solution

The fourth proportional to 222,478.40, 334,495.20 and 217,812.80 is: 327,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,478.40 : 334,495.20 = 217,812.80 : x
  2. Step 2: Convert to fraction form
    222,478.40/334,495.20 = 217,812.80/x
  3. Step 3: Cross multiply
    222,478.40x = 334,495.20 × 217,812.80
  4. Step 4: Simplify right side
    222,478.40x = 72,857,336,098.56
  5. Step 5: Solve for x
    x = 72,857,336,098.56/222,478.40
  6. Step 6: Final answer
    x = 327,480.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.