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Finding the Fourth Proportional to 332,137, 458,556.42 and 213,112.36

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Solution

The fourth proportional to 332,137, 458,556.42 and 213,112.36 is: 294,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,137 : 458,556.42 = 213,112.36 : x
  2. Step 2: Convert to fraction form
    332,137/458,556.42 = 213,112.36/x
  3. Step 3: Cross multiply
    332,137x = 458,556.42 × 213,112.36
  4. Step 4: Simplify right side
    332,137x = 97,724,040,859.35
  5. Step 5: Solve for x
    x = 97,724,040,859.35/332,137
  6. Step 6: Final answer
    x = 294,228.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.