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Finding the Fourth Proportional to 454,573.60, 681,712.76 and 214,650.38

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Solution

The fourth proportional to 454,573.60, 681,712.76 and 214,650.38 is: 321,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,573.60 : 681,712.76 = 214,650.38 : x
  2. Step 2: Convert to fraction form
    454,573.60/681,712.76 = 214,650.38/x
  3. Step 3: Cross multiply
    454,573.60x = 681,712.76 × 214,650.38
  4. Step 4: Simplify right side
    454,573.60x = 146,329,902,984.85
  5. Step 5: Solve for x
    x = 146,329,902,984.85/454,573.60
  6. Step 6: Final answer
    x = 321,905.85

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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.