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Finding the Fourth Proportional to 407,817.36, 611,389.22 and 179,950.73

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Solution

The fourth proportional to 407,817.36, 611,389.22 and 179,950.73 is: 269,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,817.36 : 611,389.22 = 179,950.73 : x
  2. Step 2: Convert to fraction form
    407,817.36/611,389.22 = 179,950.73/x
  3. Step 3: Cross multiply
    407,817.36x = 611,389.22 × 179,950.73
  4. Step 4: Simplify right side
    407,817.36x = 110,019,932,496.43
  5. Step 5: Solve for x
    x = 110,019,932,496.43/407,817.36
  6. Step 6: Final answer
    x = 269,777.46

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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.