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Finding the Fourth Proportional to 421,780.92, 632,604.42 and 197,297.16

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Solution

The fourth proportional to 421,780.92, 632,604.42 and 197,297.16 is: 295,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,780.92 : 632,604.42 = 197,297.16 : x
  2. Step 2: Convert to fraction form
    421,780.92/632,604.42 = 197,297.16/x
  3. Step 3: Cross multiply
    421,780.92x = 632,604.42 × 197,297.16
  4. Step 4: Simplify right side
    421,780.92x = 124,811,055,469.45
  5. Step 5: Solve for x
    x = 124,811,055,469.45/421,780.92
  6. Step 6: Final answer
    x = 295,914.42

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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.