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Finding the Fourth Proportional to 297,653.97, 446,542.46 and 97,986.34

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Solution

The fourth proportional to 297,653.97, 446,542.46 and 97,986.34 is: 146,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,653.97 : 446,542.46 = 97,986.34 : x
  2. Step 2: Convert to fraction form
    297,653.97/446,542.46 = 97,986.34/x
  3. Step 3: Cross multiply
    297,653.97x = 446,542.46 × 97,986.34
  4. Step 4: Simplify right side
    297,653.97x = 43,755,061,310.00
  5. Step 5: Solve for x
    x = 43,755,061,310.00/297,653.97
  6. Step 6: Final answer
    x = 146,999.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.