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Finding the Fourth Proportional to 313,835.79, 470,600.60 and 111,363.33

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Solution

The fourth proportional to 313,835.79, 470,600.60 and 111,363.33 is: 166,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,835.79 : 470,600.60 = 111,363.33 : x
  2. Step 2: Convert to fraction form
    313,835.79/470,600.60 = 111,363.33/x
  3. Step 3: Cross multiply
    313,835.79x = 470,600.60 × 111,363.33
  4. Step 4: Simplify right side
    313,835.79x = 52,407,649,359.18
  5. Step 5: Solve for x
    x = 52,407,649,359.18/313,835.79
  6. Step 6: Final answer
    x = 166,990.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.