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Finding the Fourth Proportional to 267,679.40, 401,586.46 and 188,947.24

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Solution

The fourth proportional to 267,679.40, 401,586.46 and 188,947.24 is: 283,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,679.40 : 401,586.46 = 188,947.24 : x
  2. Step 2: Convert to fraction form
    267,679.40/401,586.46 = 188,947.24/x
  3. Step 3: Cross multiply
    267,679.40x = 401,586.46 × 188,947.24
  4. Step 4: Simplify right side
    267,679.40x = 75,878,653,238.37
  5. Step 5: Solve for x
    x = 75,878,653,238.37/267,679.40
  6. Step 6: Final answer
    x = 283,468.41

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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.