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Finding the Fourth Proportional to 475,481.48, 656,231.73 and 294,251.78

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Solution

The fourth proportional to 475,481.48, 656,231.73 and 294,251.78 is: 406,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,481.48 : 656,231.73 = 294,251.78 : x
  2. Step 2: Convert to fraction form
    475,481.48/656,231.73 = 294,251.78/x
  3. Step 3: Cross multiply
    475,481.48x = 656,231.73 × 294,251.78
  4. Step 4: Simplify right side
    475,481.48x = 193,097,349,892.56
  5. Step 5: Solve for x
    x = 193,097,349,892.56/475,481.48
  6. Step 6: Final answer
    x = 406,109.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.