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Finding the Fourth Proportional to 270,992.40, 405,905.40 and 224,336.40

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Solution

The fourth proportional to 270,992.40, 405,905.40 and 224,336.40 is: 336,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,992.40 : 405,905.40 = 224,336.40 : x
  2. Step 2: Convert to fraction form
    270,992.40/405,905.40 = 224,336.40/x
  3. Step 3: Cross multiply
    270,992.40x = 405,905.40 × 224,336.40
  4. Step 4: Simplify right side
    270,992.40x = 91,059,356,176.56
  5. Step 5: Solve for x
    x = 91,059,356,176.56/270,992.40
  6. Step 6: Final answer
    x = 336,021.81

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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.