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Finding the Fourth Proportional to 313,871.20, 470,192.40 and 188,840.80

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Solution

The fourth proportional to 313,871.20, 470,192.40 and 188,840.80 is: 282,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,871.20 : 470,192.40 = 188,840.80 : x
  2. Step 2: Convert to fraction form
    313,871.20/470,192.40 = 188,840.80/x
  3. Step 3: Cross multiply
    313,871.20x = 470,192.40 × 188,840.80
  4. Step 4: Simplify right side
    313,871.20x = 88,791,508,969.92
  5. Step 5: Solve for x
    x = 88,791,508,969.92/313,871.20
  6. Step 6: Final answer
    x = 282,891.55

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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.