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Finding the Fourth Proportional to 364,954.25, 547,431.37 and 187,362.56

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Solution

The fourth proportional to 364,954.25, 547,431.37 and 187,362.56 is: 281,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,954.25 : 547,431.37 = 187,362.56 : x
  2. Step 2: Convert to fraction form
    364,954.25/547,431.37 = 187,362.56/x
  3. Step 3: Cross multiply
    364,954.25x = 547,431.37 × 187,362.56
  4. Step 4: Simplify right side
    364,954.25x = 102,568,143,807.68
  5. Step 5: Solve for x
    x = 102,568,143,807.68/364,954.25
  6. Step 6: Final answer
    x = 281,043.84

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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.