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Finding the Fourth Proportional to 419,933.50, 630,161.46 and 170,615.50

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Solution

The fourth proportional to 419,933.50, 630,161.46 and 170,615.50 is: 256,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,933.50 : 630,161.46 = 170,615.50 : x
  2. Step 2: Convert to fraction form
    419,933.50/630,161.46 = 170,615.50/x
  3. Step 3: Cross multiply
    419,933.50x = 630,161.46 × 170,615.50
  4. Step 4: Simplify right side
    419,933.50x = 107,515,311,003.23
  5. Step 5: Solve for x
    x = 107,515,311,003.23/419,933.50
  6. Step 6: Final answer
    x = 256,029.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.