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Finding the Fourth Proportional to 311,004.36, 466,448.22 and 111,316.68

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Solution

The fourth proportional to 311,004.36, 466,448.22 and 111,316.68 is: 166,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,004.36 : 466,448.22 = 111,316.68 : x
  2. Step 2: Convert to fraction form
    311,004.36/466,448.22 = 111,316.68/x
  3. Step 3: Cross multiply
    311,004.36x = 466,448.22 × 111,316.68
  4. Step 4: Simplify right side
    311,004.36x = 51,923,467,242.31
  5. Step 5: Solve for x
    x = 51,923,467,242.31/311,004.36
  6. Step 6: Final answer
    x = 166,954.15

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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.