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Finding the Fourth Proportional to 313,937.20, 470,291.40 and 188,906.80

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Solution

The fourth proportional to 313,937.20, 470,291.40 and 188,906.80 is: 282,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,937.20 : 470,291.40 = 188,906.80 : x
  2. Step 2: Convert to fraction form
    313,937.20/470,291.40 = 188,906.80/x
  3. Step 3: Cross multiply
    313,937.20x = 470,291.40 × 188,906.80
  4. Step 4: Simplify right side
    313,937.20x = 88,841,243,441.52
  5. Step 5: Solve for x
    x = 88,841,243,441.52/313,937.20
  6. Step 6: Final answer
    x = 282,990.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.