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Finding the Fourth Proportional to 297,664.17, 446,557.74 and 97,996.56

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Solution

The fourth proportional to 297,664.17, 446,557.74 and 97,996.56 is: 147,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,664.17 : 446,557.74 = 97,996.56 : x
  2. Step 2: Convert to fraction form
    297,664.17/446,557.74 = 97,996.56/x
  3. Step 3: Cross multiply
    297,664.17x = 446,557.74 × 97,996.56
  4. Step 4: Simplify right side
    297,664.17x = 43,761,122,361.37
  5. Step 5: Solve for x
    x = 43,761,122,361.37/297,664.17
  6. Step 6: Final answer
    x = 147,015.08

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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.