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Finding the Fourth Proportional to 321,314.40, 481,971.60 and 188,344.80

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Solution

The fourth proportional to 321,314.40, 481,971.60 and 188,344.80 is: 282,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,314.40 : 481,971.60 = 188,344.80 : x
  2. Step 2: Convert to fraction form
    321,314.40/481,971.60 = 188,344.80/x
  3. Step 3: Cross multiply
    321,314.40x = 481,971.60 × 188,344.80
  4. Step 4: Simplify right side
    321,314.40x = 90,776,844,607.68
  5. Step 5: Solve for x
    x = 90,776,844,607.68/321,314.40
  6. Step 6: Final answer
    x = 282,517.20

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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.