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Finding the Fourth Proportional to 300,163.66, 414,229.35 and 164,194.68

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Solution

The fourth proportional to 300,163.66, 414,229.35 and 164,194.68 is: 226,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,163.66 : 414,229.35 = 164,194.68 : x
  2. Step 2: Convert to fraction form
    300,163.66/414,229.35 = 164,194.68/x
  3. Step 3: Cross multiply
    300,163.66x = 414,229.35 × 164,194.68
  4. Step 4: Simplify right side
    300,163.66x = 68,014,254,748.88
  5. Step 5: Solve for x
    x = 68,014,254,748.88/300,163.66
  6. Step 6: Final answer
    x = 226,590.57

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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.