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Finding the Fourth Proportional to 513,904.80, 770,857.20 and 419,426.40

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Solution

The fourth proportional to 513,904.80, 770,857.20 and 419,426.40 is: 629,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,904.80 : 770,857.20 = 419,426.40 : x
  2. Step 2: Convert to fraction form
    513,904.80/770,857.20 = 419,426.40/x
  3. Step 3: Cross multiply
    513,904.80x = 770,857.20 × 419,426.40
  4. Step 4: Simplify right side
    513,904.80x = 323,317,860,310.08
  5. Step 5: Solve for x
    x = 323,317,860,310.08/513,904.80
  6. Step 6: Final answer
    x = 629,139.60

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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.