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Finding the Fourth Proportional to 332,806.26, 459,304.89 and 196,883.90

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Solution

The fourth proportional to 332,806.26, 459,304.89 and 196,883.90 is: 271,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,806.26 : 459,304.89 = 196,883.90 : x
  2. Step 2: Convert to fraction form
    332,806.26/459,304.89 = 196,883.90/x
  3. Step 3: Cross multiply
    332,806.26x = 459,304.89 × 196,883.90
  4. Step 4: Simplify right side
    332,806.26x = 90,429,740,410.89
  5. Step 5: Solve for x
    x = 90,429,740,410.89/332,806.26
  6. Step 6: Final answer
    x = 271,718.87

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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.