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Finding the Fourth Proportional to 324,072.81, 486,184.82 and 110,842.38

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Solution

The fourth proportional to 324,072.81, 486,184.82 and 110,842.38 is: 166,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,072.81 : 486,184.82 = 110,842.38 : x
  2. Step 2: Convert to fraction form
    324,072.81/486,184.82 = 110,842.38/x
  3. Step 3: Cross multiply
    324,072.81x = 486,184.82 × 110,842.38
  4. Step 4: Simplify right side
    324,072.81x = 53,889,882,014.46
  5. Step 5: Solve for x
    x = 53,889,882,014.46/324,072.81
  6. Step 6: Final answer
    x = 166,289.43

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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.