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Finding the Fourth Proportional to 298,771.50, 412,313.31 and 164,644.14

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Solution

The fourth proportional to 298,771.50, 412,313.31 and 164,644.14 is: 227,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,771.50 : 412,313.31 = 164,644.14 : x
  2. Step 2: Convert to fraction form
    298,771.50/412,313.31 = 164,644.14/x
  3. Step 3: Cross multiply
    298,771.50x = 412,313.31 × 164,644.14
  4. Step 4: Simplify right side
    298,771.50x = 67,884,970,335.50
  5. Step 5: Solve for x
    x = 67,884,970,335.50/298,771.50
  6. Step 6: Final answer
    x = 227,213.67

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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.