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Finding the Fourth Proportional to 513,909.80, 770,864.70 and 419,431.40

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Solution

The fourth proportional to 513,909.80, 770,864.70 and 419,431.40 is: 629,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,909.80 : 770,864.70 = 419,431.40 : x
  2. Step 2: Convert to fraction form
    513,909.80/770,864.70 = 419,431.40/x
  3. Step 3: Cross multiply
    513,909.80x = 770,864.70 × 419,431.40
  4. Step 4: Simplify right side
    513,909.80x = 323,324,860,331.58
  5. Step 5: Solve for x
    x = 323,324,860,331.58/513,909.80
  6. Step 6: Final answer
    x = 629,147.10

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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.