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Finding the Fourth Proportional to 397,015.44, 547,871.67 and 222,574.07

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Solution

The fourth proportional to 397,015.44, 547,871.67 and 222,574.07 is: 307,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,015.44 : 547,871.67 = 222,574.07 : x
  2. Step 2: Convert to fraction form
    397,015.44/547,871.67 = 222,574.07/x
  3. Step 3: Cross multiply
    397,015.44x = 547,871.67 × 222,574.07
  4. Step 4: Simplify right side
    397,015.44x = 121,942,028,799.28
  5. Step 5: Solve for x
    x = 121,942,028,799.28/397,015.44
  6. Step 6: Final answer
    x = 307,146.82

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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.