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Finding the Fourth Proportional to 313,743.14, 470,406.60 and 114,039.80

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Solution

The fourth proportional to 313,743.14, 470,406.60 and 114,039.80 is: 170,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,743.14 : 470,406.60 = 114,039.80 : x
  2. Step 2: Convert to fraction form
    313,743.14/470,406.60 = 114,039.80/x
  3. Step 3: Cross multiply
    313,743.14x = 470,406.60 × 114,039.80
  4. Step 4: Simplify right side
    313,743.14x = 53,645,074,582.68
  5. Step 5: Solve for x
    x = 53,645,074,582.68/313,743.14
  6. Step 6: Final answer
    x = 170,984.06

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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.