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Finding the Fourth Proportional to 320,704.64, 481,222.98 and 232,684.64

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Solution

The fourth proportional to 320,704.64, 481,222.98 and 232,684.64 is: 349,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,704.64 : 481,222.98 = 232,684.64 : x
  2. Step 2: Convert to fraction form
    320,704.64/481,222.98 = 232,684.64/x
  3. Step 3: Cross multiply
    320,704.64x = 481,222.98 × 232,684.64
  4. Step 4: Simplify right side
    320,704.64x = 111,973,195,861.03
  5. Step 5: Solve for x
    x = 111,973,195,861.03/320,704.64
  6. Step 6: Final answer
    x = 349,147.41

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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.