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Finding the Fourth Proportional to 296,236.40, 408,806.01 and 167,202.02

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Solution

The fourth proportional to 296,236.40, 408,806.01 and 167,202.02 is: 230,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,236.40 : 408,806.01 = 167,202.02 : x
  2. Step 2: Convert to fraction form
    296,236.40/408,806.01 = 167,202.02/x
  3. Step 3: Cross multiply
    296,236.40x = 408,806.01 × 167,202.02
  4. Step 4: Simplify right side
    296,236.40x = 68,353,191,682.16
  5. Step 5: Solve for x
    x = 68,353,191,682.16/296,236.40
  6. Step 6: Final answer
    x = 230,738.67

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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.