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Finding the Fourth Proportional to 313,810.80, 470,716.20 and 187,839.60

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Solution

The fourth proportional to 313,810.80, 470,716.20 and 187,839.60 is: 281,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,810.80 : 470,716.20 = 187,839.60 : x
  2. Step 2: Convert to fraction form
    313,810.80/470,716.20 = 187,839.60/x
  3. Step 3: Cross multiply
    313,810.80x = 470,716.20 × 187,839.60
  4. Step 4: Simplify right side
    313,810.80x = 88,419,142,721.52
  5. Step 5: Solve for x
    x = 88,419,142,721.52/313,810.80
  6. Step 6: Final answer
    x = 281,759.40

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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.