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Finding the Fourth Proportional to 270,926.40, 405,806.40 and 224,270.40

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Solution

The fourth proportional to 270,926.40, 405,806.40 and 224,270.40 is: 335,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,926.40 : 405,806.40 = 224,270.40 : x
  2. Step 2: Convert to fraction form
    270,926.40/405,806.40 = 224,270.40/x
  3. Step 3: Cross multiply
    270,926.40x = 405,806.40 × 224,270.40
  4. Step 4: Simplify right side
    270,926.40x = 91,010,363,650.56
  5. Step 5: Solve for x
    x = 91,010,363,650.56/270,926.40
  6. Step 6: Final answer
    x = 335,922.83

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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.