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Finding the Fourth Proportional to 329,984.80, 494,977.20 and 108,368.80

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Solution

The fourth proportional to 329,984.80, 494,977.20 and 108,368.80 is: 162,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,984.80 : 494,977.20 = 108,368.80 : x
  2. Step 2: Convert to fraction form
    329,984.80/494,977.20 = 108,368.80/x
  3. Step 3: Cross multiply
    329,984.80x = 494,977.20 × 108,368.80
  4. Step 4: Simplify right side
    329,984.80x = 53,640,085,191.36
  5. Step 5: Solve for x
    x = 53,640,085,191.36/329,984.80
  6. Step 6: Final answer
    x = 162,553.20

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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.