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Finding the Fourth Proportional to 467,826.82, 701,158.84 and 214,838.91

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Solution

The fourth proportional to 467,826.82, 701,158.84 and 214,838.91 is: 321,991.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,826.82 : 701,158.84 = 214,838.91 : x
  2. Step 2: Convert to fraction form
    467,826.82/701,158.84 = 214,838.91/x
  3. Step 3: Cross multiply
    467,826.82x = 701,158.84 × 214,838.91
  4. Step 4: Simplify right side
    467,826.82x = 150,636,200,922.46
  5. Step 5: Solve for x
    x = 150,636,200,922.46/467,826.82
  6. Step 6: Final answer
    x = 321,991.37

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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.