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Finding the Fourth Proportional to 513,664.80, 770,266.80 and 198,016.80

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Solution

The fourth proportional to 513,664.80, 770,266.80 and 198,016.80 is: 296,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,664.80 : 770,266.80 = 198,016.80 : x
  2. Step 2: Convert to fraction form
    513,664.80/770,266.80 = 198,016.80/x
  3. Step 3: Cross multiply
    513,664.80x = 770,266.80 × 198,016.80
  4. Step 4: Simplify right side
    513,664.80x = 152,525,766,882.24
  5. Step 5: Solve for x
    x = 152,525,766,882.24/513,664.80
  6. Step 6: Final answer
    x = 296,936.38

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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.