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Finding the Fourth Proportional to 313,393.75, 470,277.42 and 113,729.73

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Solution

The fourth proportional to 313,393.75, 470,277.42 and 113,729.73 is: 170,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,393.75 : 470,277.42 = 113,729.73 : x
  2. Step 2: Convert to fraction form
    313,393.75/470,277.42 = 113,729.73/x
  3. Step 3: Cross multiply
    313,393.75x = 470,277.42 × 113,729.73
  4. Step 4: Simplify right side
    313,393.75x = 53,484,524,001.70
  5. Step 5: Solve for x
    x = 53,484,524,001.70/313,393.75
  6. Step 6: Final answer
    x = 170,662.38

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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.