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Finding the Fourth Proportional to 300,614.12, 414,851.90 and 164,660.67

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Solution

The fourth proportional to 300,614.12, 414,851.90 and 164,660.67 is: 227,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,614.12 : 414,851.90 = 164,660.67 : x
  2. Step 2: Convert to fraction form
    300,614.12/414,851.90 = 164,660.67/x
  3. Step 3: Cross multiply
    300,614.12x = 414,851.90 × 164,660.67
  4. Step 4: Simplify right side
    300,614.12x = 68,309,790,981.47
  5. Step 5: Solve for x
    x = 68,309,790,981.47/300,614.12
  6. Step 6: Final answer
    x = 227,234.14

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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.