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Finding the Fourth Proportional to 329,103.46, 493,674.32 and 92,464.62

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Solution

The fourth proportional to 329,103.46, 493,674.32 and 92,464.62 is: 138,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,103.46 : 493,674.32 = 92,464.62 : x
  2. Step 2: Convert to fraction form
    329,103.46/493,674.32 = 92,464.62/x
  3. Step 3: Cross multiply
    329,103.46x = 493,674.32 × 92,464.62
  4. Step 4: Simplify right side
    329,103.46x = 45,647,408,402.56
  5. Step 5: Solve for x
    x = 45,647,408,402.56/329,103.46
  6. Step 6: Final answer
    x = 138,702.30

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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.