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Finding the Fourth Proportional to 344,138.82, 474,927.47 and 191,177.20

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Solution

The fourth proportional to 344,138.82, 474,927.47 and 191,177.20 is: 263,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,138.82 : 474,927.47 = 191,177.20 : x
  2. Step 2: Convert to fraction form
    344,138.82/474,927.47 = 191,177.20/x
  3. Step 3: Cross multiply
    344,138.82x = 474,927.47 × 191,177.20
  4. Step 4: Simplify right side
    344,138.82x = 90,795,303,917.68
  5. Step 5: Solve for x
    x = 90,795,303,917.68/344,138.82
  6. Step 6: Final answer
    x = 263,833.37

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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.