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Finding the Fourth Proportional to 329,614.25, 494,128.16 and 119,205.41

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Solution

The fourth proportional to 329,614.25, 494,128.16 and 119,205.41 is: 178,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,614.25 : 494,128.16 = 119,205.41 : x
  2. Step 2: Convert to fraction form
    329,614.25/494,128.16 = 119,205.41/x
  3. Step 3: Cross multiply
    329,614.25x = 494,128.16 × 119,205.41
  4. Step 4: Simplify right side
    329,614.25x = 58,902,749,309.32
  5. Step 5: Solve for x
    x = 58,902,749,309.32/329,614.25
  6. Step 6: Final answer
    x = 178,702.07

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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.