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Finding the Fourth Proportional to 300,520.54, 414,700 and 164,556.10

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Solution

The fourth proportional to 300,520.54, 414,700 and 164,556.10 is: 227,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,520.54 : 414,700 = 164,556.10 : x
  2. Step 2: Convert to fraction form
    300,520.54/414,700 = 164,556.10/x
  3. Step 3: Cross multiply
    300,520.54x = 414,700 × 164,556.10
  4. Step 4: Simplify right side
    300,520.54x = 68,241,414,670
  5. Step 5: Solve for x
    x = 68,241,414,670/300,520.54
  6. Step 6: Final answer
    x = 227,077.37

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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.