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Finding the Fourth Proportional to 419,672.10, 629,606.37 and 166,966.89

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Solution

The fourth proportional to 419,672.10, 629,606.37 and 166,966.89 is: 250,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,672.10 : 629,606.37 = 166,966.89 : x
  2. Step 2: Convert to fraction form
    419,672.10/629,606.37 = 166,966.89/x
  3. Step 3: Cross multiply
    419,672.10x = 629,606.37 × 166,966.89
  4. Step 4: Simplify right side
    419,672.10x = 105,123,417,523.09
  5. Step 5: Solve for x
    x = 105,123,417,523.09/419,672.10
  6. Step 6: Final answer
    x = 250,489.41

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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.