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Finding the Fourth Proportional to 313,902.20, 470,882.10 and 103,540.60

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Solution

The fourth proportional to 313,902.20, 470,882.10 and 103,540.60 is: 155,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,902.20 : 470,882.10 = 103,540.60 : x
  2. Step 2: Convert to fraction form
    313,902.20/470,882.10 = 103,540.60/x
  3. Step 3: Cross multiply
    313,902.20x = 470,882.10 × 103,540.60
  4. Step 4: Simplify right side
    313,902.20x = 48,755,415,163.26
  5. Step 5: Solve for x
    x = 48,755,415,163.26/313,902.20
  6. Step 6: Final answer
    x = 155,320.40

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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.