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Finding the Fourth Proportional to 357,772.70, 493,738.17 and 196,633.46

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Solution

The fourth proportional to 357,772.70, 493,738.17 and 196,633.46 is: 271,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,772.70 : 493,738.17 = 196,633.46 : x
  2. Step 2: Convert to fraction form
    357,772.70/493,738.17 = 196,633.46/x
  3. Step 3: Cross multiply
    357,772.70x = 493,738.17 × 196,633.46
  4. Step 4: Simplify right side
    357,772.70x = 97,085,445,198.14
  5. Step 5: Solve for x
    x = 97,085,445,198.14/357,772.70
  6. Step 6: Final answer
    x = 271,360.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.