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Finding the Fourth Proportional to 332,506.96, 458,745.84 and 189,231.28

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Solution

The fourth proportional to 332,506.96, 458,745.84 and 189,231.28 is: 261,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,506.96 : 458,745.84 = 189,231.28 : x
  2. Step 2: Convert to fraction form
    332,506.96/458,745.84 = 189,231.28/x
  3. Step 3: Cross multiply
    332,506.96x = 458,745.84 × 189,231.28
  4. Step 4: Simplify right side
    332,506.96x = 86,809,062,497.88
  5. Step 5: Solve for x
    x = 86,809,062,497.88/332,506.96
  6. Step 6: Final answer
    x = 261,074.42

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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.