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Finding the Fourth Proportional to 297,781.30, 446,575.97 and 98,054.13

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Solution

The fourth proportional to 297,781.30, 446,575.97 and 98,054.13 is: 147,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,781.30 : 446,575.97 = 98,054.13 : x
  2. Step 2: Convert to fraction form
    297,781.30/446,575.97 = 98,054.13/x
  3. Step 3: Cross multiply
    297,781.30x = 446,575.97 × 98,054.13
  4. Step 4: Simplify right side
    297,781.30x = 43,788,618,843.43
  5. Step 5: Solve for x
    x = 43,788,618,843.43/297,781.30
  6. Step 6: Final answer
    x = 147,049.59

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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.