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Finding the Fourth Proportional to 321,846.13, 482,769.60 and 111,484.05

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Solution

The fourth proportional to 321,846.13, 482,769.60 and 111,484.05 is: 167,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,846.13 : 482,769.60 = 111,484.05 : x
  2. Step 2: Convert to fraction form
    321,846.13/482,769.60 = 111,484.05/x
  3. Step 3: Cross multiply
    321,846.13x = 482,769.60 × 111,484.05
  4. Step 4: Simplify right side
    321,846.13x = 53,821,110,224.88
  5. Step 5: Solve for x
    x = 53,821,110,224.88/321,846.13
  6. Step 6: Final answer
    x = 167,226.22

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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.