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Finding the Fourth Proportional to 357,873.43, 493,866.93 and 196,738.84

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Solution

The fourth proportional to 357,873.43, 493,866.93 and 196,738.84 is: 271,500.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,873.43 : 493,866.93 = 196,738.84 : x
  2. Step 2: Convert to fraction form
    357,873.43/493,866.93 = 196,738.84/x
  3. Step 3: Cross multiply
    357,873.43x = 493,866.93 × 196,738.84
  4. Step 4: Simplify right side
    357,873.43x = 97,162,806,922.56
  5. Step 5: Solve for x
    x = 97,162,806,922.56/357,873.43
  6. Step 6: Final answer
    x = 271,500.48

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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.