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Finding the Fourth Proportional to 325,658.20, 488,414.40 and 214,121.20

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Solution

The fourth proportional to 325,658.20, 488,414.40 and 214,121.20 is: 321,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,658.20 : 488,414.40 = 214,121.20 : x
  2. Step 2: Convert to fraction form
    325,658.20/488,414.40 = 214,121.20/x
  3. Step 3: Cross multiply
    325,658.20x = 488,414.40 × 214,121.20
  4. Step 4: Simplify right side
    325,658.20x = 104,579,877,425.28
  5. Step 5: Solve for x
    x = 104,579,877,425.28/325,658.20
  6. Step 6: Final answer
    x = 321,133.87

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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.