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Finding the Fourth Proportional to 329,407.41, 494,105.91 and 104,764.59

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Solution

The fourth proportional to 329,407.41, 494,105.91 and 104,764.59 is: 157,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,407.41 : 494,105.91 = 104,764.59 : x
  2. Step 2: Convert to fraction form
    329,407.41/494,105.91 = 104,764.59/x
  3. Step 3: Cross multiply
    329,407.41x = 494,105.91 × 104,764.59
  4. Step 4: Simplify right side
    329,407.41x = 51,764,803,077.73
  5. Step 5: Solve for x
    x = 51,764,803,077.73/329,407.41
  6. Step 6: Final answer
    x = 157,145.23

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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.