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Finding the Fourth Proportional to 329,616.50, 494,399.91 and 104,967.86

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Solution

The fourth proportional to 329,616.50, 494,399.91 and 104,967.86 is: 157,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,616.50 : 494,399.91 = 104,967.86 : x
  2. Step 2: Convert to fraction form
    329,616.50/494,399.91 = 104,967.86/x
  3. Step 3: Cross multiply
    329,616.50x = 494,399.91 × 104,967.86
  4. Step 4: Simplify right side
    329,616.50x = 51,896,100,536.89
  5. Step 5: Solve for x
    x = 51,896,100,536.89/329,616.50
  6. Step 6: Final answer
    x = 157,443.88

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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.