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Finding the Fourth Proportional to 301,480.56, 416,022.36 and 167,334

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Solution

The fourth proportional to 301,480.56, 416,022.36 and 167,334 is: 230,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,480.56 : 416,022.36 = 167,334 : x
  2. Step 2: Convert to fraction form
    301,480.56/416,022.36 = 167,334/x
  3. Step 3: Cross multiply
    301,480.56x = 416,022.36 × 167,334
  4. Step 4: Simplify right side
    301,480.56x = 69,614,685,588.24
  5. Step 5: Solve for x
    x = 69,614,685,588.24/301,480.56
  6. Step 6: Final answer
    x = 230,909.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.