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Finding the Fourth Proportional to 300,221.86, 414,163.02 and 185,459.22

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Solution

The fourth proportional to 300,221.86, 414,163.02 and 185,459.22 is: 255,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,221.86 : 414,163.02 = 185,459.22 : x
  2. Step 2: Convert to fraction form
    300,221.86/414,163.02 = 185,459.22/x
  3. Step 3: Cross multiply
    300,221.86x = 414,163.02 × 185,459.22
  4. Step 4: Simplify right side
    300,221.86x = 76,810,348,571.23
  5. Step 5: Solve for x
    x = 76,810,348,571.23/300,221.86
  6. Step 6: Final answer
    x = 255,845.29

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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.