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Finding the Fourth Proportional to 252,044.20, 377,672.57 and 214,449.67

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Solution

The fourth proportional to 252,044.20, 377,672.57 and 214,449.67 is: 321,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,044.20 : 377,672.57 = 214,449.67 : x
  2. Step 2: Convert to fraction form
    252,044.20/377,672.57 = 214,449.67/x
  3. Step 3: Cross multiply
    252,044.20x = 377,672.57 × 214,449.67
  4. Step 4: Simplify right side
    252,044.20x = 80,991,758,004.55
  5. Step 5: Solve for x
    x = 80,991,758,004.55/252,044.20
  6. Step 6: Final answer
    x = 321,339.50

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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.