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Finding the Fourth Proportional to 419,655.63, 629,581.77 and 166,950.48

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Solution

The fourth proportional to 419,655.63, 629,581.77 and 166,950.48 is: 250,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,655.63 : 629,581.77 = 166,950.48 : x
  2. Step 2: Convert to fraction form
    419,655.63/629,581.77 = 166,950.48/x
  3. Step 3: Cross multiply
    419,655.63x = 629,581.77 × 166,950.48
  4. Step 4: Simplify right side
    419,655.63x = 105,108,978,700.75
  5. Step 5: Solve for x
    x = 105,108,978,700.75/419,655.63
  6. Step 6: Final answer
    x = 250,464.84

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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.