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Finding the Fourth Proportional to 297,358.97, 446,085.09 and 97,633.89

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Solution

The fourth proportional to 297,358.97, 446,085.09 and 97,633.89 is: 146,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,358.97 : 446,085.09 = 97,633.89 : x
  2. Step 2: Convert to fraction form
    297,358.97/446,085.09 = 97,633.89/x
  3. Step 3: Cross multiply
    297,358.97x = 446,085.09 × 97,633.89
  4. Step 4: Simplify right side
    297,358.97x = 43,553,022,607.70
  5. Step 5: Solve for x
    x = 43,553,022,607.70/297,358.97
  6. Step 6: Final answer
    x = 146,466.15

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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.