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Finding the Fourth Proportional to 329,107.76, 493,722.69 and 104,407.48

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Solution

The fourth proportional to 329,107.76, 493,722.69 and 104,407.48 is: 156,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,107.76 : 493,722.69 = 104,407.48 : x
  2. Step 2: Convert to fraction form
    329,107.76/493,722.69 = 104,407.48/x
  3. Step 3: Cross multiply
    329,107.76x = 493,722.69 × 104,407.48
  4. Step 4: Simplify right side
    329,107.76x = 51,548,342,694.64
  5. Step 5: Solve for x
    x = 51,548,342,694.64/329,107.76
  6. Step 6: Final answer
    x = 156,630.59

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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.