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Finding the Fourth Proportional to 300,425.56, 414,580.86 and 164,455.96

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Solution

The fourth proportional to 300,425.56, 414,580.86 and 164,455.96 is: 226,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,425.56 : 414,580.86 = 164,455.96 : x
  2. Step 2: Convert to fraction form
    300,425.56/414,580.86 = 164,455.96/x
  3. Step 3: Cross multiply
    300,425.56x = 414,580.86 × 164,455.96
  4. Step 4: Simplify right side
    300,425.56x = 68,180,293,328.93
  5. Step 5: Solve for x
    x = 68,180,293,328.93/300,425.56
  6. Step 6: Final answer
    x = 226,945.71

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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.