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Finding the Fourth Proportional to 332,069.64, 458,374.43 and 196,104.14

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Solution

The fourth proportional to 332,069.64, 458,374.43 and 196,104.14 is: 270,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,069.64 : 458,374.43 = 196,104.14 : x
  2. Step 2: Convert to fraction form
    332,069.64/458,374.43 = 196,104.14/x
  3. Step 3: Cross multiply
    332,069.64x = 458,374.43 × 196,104.14
  4. Step 4: Simplify right side
    332,069.64x = 89,889,122,207.35
  5. Step 5: Solve for x
    x = 89,889,122,207.35/332,069.64
  6. Step 6: Final answer
    x = 270,693.59

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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.