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Finding the Fourth Proportional to 463,205.40, 694,289.70 and 196,920.60

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Solution

The fourth proportional to 463,205.40, 694,289.70 and 196,920.60 is: 295,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,205.40 : 694,289.70 = 196,920.60 : x
  2. Step 2: Convert to fraction form
    463,205.40/694,289.70 = 196,920.60/x
  3. Step 3: Cross multiply
    463,205.40x = 694,289.70 × 196,920.60
  4. Step 4: Simplify right side
    463,205.40x = 136,719,944,297.82
  5. Step 5: Solve for x
    x = 136,719,944,297.82/463,205.40
  6. Step 6: Final answer
    x = 295,160.51

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1.5x scale

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.