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Finding the Fourth Proportional to 301,367.50, 415,906.59 and 167,231.50

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Solution

The fourth proportional to 301,367.50, 415,906.59 and 167,231.50 is: 230,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,367.50 : 415,906.59 = 167,231.50 : x
  2. Step 2: Convert to fraction form
    301,367.50/415,906.59 = 167,231.50/x
  3. Step 3: Cross multiply
    301,367.50x = 415,906.59 × 167,231.50
  4. Step 4: Simplify right side
    301,367.50x = 69,552,682,905.59
  5. Step 5: Solve for x
    x = 69,552,682,905.59/301,367.50
  6. Step 6: Final answer
    x = 230,790.26

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1.5x scale

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.