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Finding the Fourth Proportional to 474,481.25, 711,721.26 and 154,632.64

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Solution

The fourth proportional to 474,481.25, 711,721.26 and 154,632.64 is: 231,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,481.25 : 711,721.26 = 154,632.64 : x
  2. Step 2: Convert to fraction form
    474,481.25/711,721.26 = 154,632.64/x
  3. Step 3: Cross multiply
    474,481.25x = 711,721.26 × 154,632.64
  4. Step 4: Simplify right side
    474,481.25x = 110,055,337,377.93
  5. Step 5: Solve for x
    x = 110,055,337,377.93/474,481.25
  6. Step 6: Final answer
    x = 231,948.76

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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.