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Finding the Fourth Proportional to 347,137.92, 520,706.88 and 329,408.64

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Solution

The fourth proportional to 347,137.92, 520,706.88 and 329,408.64 is: 494,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,137.92 : 520,706.88 = 329,408.64 : x
  2. Step 2: Convert to fraction form
    347,137.92/520,706.88 = 329,408.64/x
  3. Step 3: Cross multiply
    347,137.92x = 520,706.88 × 329,408.64
  4. Step 4: Simplify right side
    347,137.92x = 171,525,345,179.44
  5. Step 5: Solve for x
    x = 171,525,345,179.44/347,137.92
  6. Step 6: Final answer
    x = 494,112.96

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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.