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Finding the Fourth Proportional to 419,559.60, 629,090.44 and 166,704.42

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Solution

The fourth proportional to 419,559.60, 629,090.44 and 166,704.42 is: 249,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,559.60 : 629,090.44 = 166,704.42 : x
  2. Step 2: Convert to fraction form
    419,559.60/629,090.44 = 166,704.42/x
  3. Step 3: Cross multiply
    419,559.60x = 629,090.44 × 166,704.42
  4. Step 4: Simplify right side
    419,559.60x = 104,872,156,927.75
  5. Step 5: Solve for x
    x = 104,872,156,927.75/419,559.60
  6. Step 6: Final answer
    x = 249,957.71

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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.