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Finding the Fourth Proportional to 313,706.68, 470,571.07 and 100,481.06

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Solution

The fourth proportional to 313,706.68, 470,571.07 and 100,481.06 is: 150,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,706.68 : 470,571.07 = 100,481.06 : x
  2. Step 2: Convert to fraction form
    313,706.68/470,571.07 = 100,481.06/x
  3. Step 3: Cross multiply
    313,706.68x = 470,571.07 × 100,481.06
  4. Step 4: Simplify right side
    313,706.68x = 47,283,479,918.93
  5. Step 5: Solve for x
    x = 47,283,479,918.93/313,706.68
  6. Step 6: Final answer
    x = 150,725.13

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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.