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Finding the Fourth Proportional to 297,627.89, 410,729.58 and 161,664.48

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Solution

The fourth proportional to 297,627.89, 410,729.58 and 161,664.48 is: 223,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,627.89 : 410,729.58 = 161,664.48 : x
  2. Step 2: Convert to fraction form
    297,627.89/410,729.58 = 161,664.48/x
  3. Step 3: Cross multiply
    297,627.89x = 410,729.58 × 161,664.48
  4. Step 4: Simplify right side
    297,627.89x = 66,400,383,971.32
  5. Step 5: Solve for x
    x = 66,400,383,971.32/297,627.89
  6. Step 6: Final answer
    x = 223,098.67

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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.