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Finding the Fourth Proportional to 332,230.32, 458,463.60 and 196,308

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Solution

The fourth proportional to 332,230.32, 458,463.60 and 196,308 is: 270,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,230.32 : 458,463.60 = 196,308 : x
  2. Step 2: Convert to fraction form
    332,230.32/458,463.60 = 196,308/x
  3. Step 3: Cross multiply
    332,230.32x = 458,463.60 × 196,308
  4. Step 4: Simplify right side
    332,230.32x = 90,000,072,388.80
  5. Step 5: Solve for x
    x = 90,000,072,388.80/332,230.32
  6. Step 6: Final answer
    x = 270,896.62

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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.