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Finding the Fourth Proportional to 329,072.70, 493,609.05 and 214,911.30

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Solution

The fourth proportional to 329,072.70, 493,609.05 and 214,911.30 is: 322,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,072.70 : 493,609.05 = 214,911.30 : x
  2. Step 2: Convert to fraction form
    329,072.70/493,609.05 = 214,911.30/x
  3. Step 3: Cross multiply
    329,072.70x = 493,609.05 × 214,911.30
  4. Step 4: Simplify right side
    329,072.70x = 106,082,162,627.27
  5. Step 5: Solve for x
    x = 106,082,162,627.27/329,072.70
  6. Step 6: Final answer
    x = 322,366.95

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1.5x scale

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.