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Finding the Fourth Proportional to 358,058.96, 494,133.48 and 196,920.80

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Solution

The fourth proportional to 358,058.96, 494,133.48 and 196,920.80 is: 271,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,058.96 : 494,133.48 = 196,920.80 : x
  2. Step 2: Convert to fraction form
    358,058.96/494,133.48 = 196,920.80/x
  3. Step 3: Cross multiply
    358,058.96x = 494,133.48 × 196,920.80
  4. Step 4: Simplify right side
    358,058.96x = 97,305,160,188.38
  5. Step 5: Solve for x
    x = 97,305,160,188.38/358,058.96
  6. Step 6: Final answer
    x = 271,757.37

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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.