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Finding the Fourth Proportional to 463,648.40, 694,954.20 and 197,363.60

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Solution

The fourth proportional to 463,648.40, 694,954.20 and 197,363.60 is: 295,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,648.40 : 694,954.20 = 197,363.60 : x
  2. Step 2: Convert to fraction form
    463,648.40/694,954.20 = 197,363.60/x
  3. Step 3: Cross multiply
    463,648.40x = 694,954.20 × 197,363.60
  4. Step 4: Simplify right side
    463,648.40x = 137,158,662,747.12
  5. Step 5: Solve for x
    x = 137,158,662,747.12/463,648.40
  6. Step 6: Final answer
    x = 295,824.73

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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.