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Finding the Fourth Proportional to 300,598.37, 414,825.89 and 164,640.86

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Solution

The fourth proportional to 300,598.37, 414,825.89 and 164,640.86 is: 227,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,598.37 : 414,825.89 = 164,640.86 : x
  2. Step 2: Convert to fraction form
    300,598.37/414,825.89 = 164,640.86/x
  3. Step 3: Cross multiply
    300,598.37x = 414,825.89 × 164,640.86
  4. Step 4: Simplify right side
    300,598.37x = 68,297,292,121.15
  5. Step 5: Solve for x
    x = 68,297,292,121.15/300,598.37
  6. Step 6: Final answer
    x = 227,204.47

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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.