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Finding the Fourth Proportional to 300,635.21, 414,876.76 and 164,671.43

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Solution

The fourth proportional to 300,635.21, 414,876.76 and 164,671.43 is: 227,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,635.21 : 414,876.76 = 164,671.43 : x
  2. Step 2: Convert to fraction form
    300,635.21/414,876.76 = 164,671.43/x
  3. Step 3: Cross multiply
    300,635.21x = 414,876.76 × 164,671.43
  4. Step 4: Simplify right side
    300,635.21x = 68,318,349,653.72
  5. Step 5: Solve for x
    x = 68,318,349,653.72/300,635.21
  6. Step 6: Final answer
    x = 227,246.67

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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.