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Finding the Fourth Proportional to 329,874.60, 494,423.10 and 140,334.60

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Solution

The fourth proportional to 329,874.60, 494,423.10 and 140,334.60 is: 210,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,874.60 : 494,423.10 = 140,334.60 : x
  2. Step 2: Convert to fraction form
    329,874.60/494,423.10 = 140,334.60/x
  3. Step 3: Cross multiply
    329,874.60x = 494,423.10 × 140,334.60
  4. Step 4: Simplify right side
    329,874.60x = 69,384,667,969.26
  5. Step 5: Solve for x
    x = 69,384,667,969.26/329,874.60
  6. Step 6: Final answer
    x = 210,336.50

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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.