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Finding the Fourth Proportional to 513,998.80, 770,998.20 and 140,021.20

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Solution

The fourth proportional to 513,998.80, 770,998.20 and 140,021.20 is: 210,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,998.80 : 770,998.20 = 140,021.20 : x
  2. Step 2: Convert to fraction form
    513,998.80/770,998.20 = 140,021.20/x
  3. Step 3: Cross multiply
    513,998.80x = 770,998.20 × 140,021.20
  4. Step 4: Simplify right side
    513,998.80x = 107,956,093,161.84
  5. Step 5: Solve for x
    x = 107,956,093,161.84/513,998.80
  6. Step 6: Final answer
    x = 210,031.80

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Similar ratio
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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.