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Finding the Fourth Proportional to 329,523.02, 494,287.14 and 215,766.71

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Solution

The fourth proportional to 329,523.02, 494,287.14 and 215,766.71 is: 323,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,523.02 : 494,287.14 = 215,766.71 : x
  2. Step 2: Convert to fraction form
    329,523.02/494,287.14 = 215,766.71/x
  3. Step 3: Cross multiply
    329,523.02x = 494,287.14 × 215,766.71
  4. Step 4: Simplify right side
    329,523.02x = 106,650,709,993.11
  5. Step 5: Solve for x
    x = 106,650,709,993.11/329,523.02
  6. Step 6: Final answer
    x = 323,651.77

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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.