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Finding the Fourth Proportional to 270,930.40, 405,812.40 and 224,274.40

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Solution

The fourth proportional to 270,930.40, 405,812.40 and 224,274.40 is: 335,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,930.40 : 405,812.40 = 224,274.40 : x
  2. Step 2: Convert to fraction form
    270,930.40/405,812.40 = 224,274.40/x
  3. Step 3: Cross multiply
    270,930.40x = 405,812.40 × 224,274.40
  4. Step 4: Simplify right side
    270,930.40x = 91,013,332,522.56
  5. Step 5: Solve for x
    x = 91,013,332,522.56/270,930.40
  6. Step 6: Final answer
    x = 335,928.83

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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.