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Finding the Fourth Proportional to 321,074.72, 481,643.76 and 110,684.96

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Solution

The fourth proportional to 321,074.72, 481,643.76 and 110,684.96 is: 166,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,074.72 : 481,643.76 = 110,684.96 : x
  2. Step 2: Convert to fraction form
    321,074.72/481,643.76 = 110,684.96/x
  3. Step 3: Cross multiply
    321,074.72x = 481,643.76 × 110,684.96
  4. Step 4: Simplify right side
    321,074.72x = 53,310,720,309.85
  5. Step 5: Solve for x
    x = 53,310,720,309.85/321,074.72
  6. Step 6: Final answer
    x = 166,038.36

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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.