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Finding the Fourth Proportional to 463,021.60, 694,532.40 and 196,790.80

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Solution

The fourth proportional to 463,021.60, 694,532.40 and 196,790.80 is: 295,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,021.60 : 694,532.40 = 196,790.80 : x
  2. Step 2: Convert to fraction form
    463,021.60/694,532.40 = 196,790.80/x
  3. Step 3: Cross multiply
    463,021.60x = 694,532.40 × 196,790.80
  4. Step 4: Simplify right side
    463,021.60x = 136,677,586,621.92
  5. Step 5: Solve for x
    x = 136,677,586,621.92/463,021.60
  6. Step 6: Final answer
    x = 295,186.20

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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.