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Finding the Fourth Proportional to 297,652.97, 446,540.96 and 97,985.34

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Solution

The fourth proportional to 297,652.97, 446,540.96 and 97,985.34 is: 146,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,652.97 : 446,540.96 = 97,985.34 : x
  2. Step 2: Convert to fraction form
    297,652.97/446,540.96 = 97,985.34/x
  3. Step 3: Cross multiply
    297,652.97x = 446,540.96 × 97,985.34
  4. Step 4: Simplify right side
    297,652.97x = 43,754,467,789.53
  5. Step 5: Solve for x
    x = 43,754,467,789.53/297,652.97
  6. Step 6: Final answer
    x = 146,998.26

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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.