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Finding the Fourth Proportional to 313,364.40, 470,046.60 and 194,974.80

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Solution

The fourth proportional to 313,364.40, 470,046.60 and 194,974.80 is: 292,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,364.40 : 470,046.60 = 194,974.80 : x
  2. Step 2: Convert to fraction form
    313,364.40/470,046.60 = 194,974.80/x
  3. Step 3: Cross multiply
    313,364.40x = 470,046.60 × 194,974.80
  4. Step 4: Simplify right side
    313,364.40x = 91,647,241,825.68
  5. Step 5: Solve for x
    x = 91,647,241,825.68/313,364.40
  6. Step 6: Final answer
    x = 292,462.20

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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.