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Finding the Fourth Proportional to 313,520.45, 470,405.27 and 100,321.20

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Solution

The fourth proportional to 313,520.45, 470,405.27 and 100,321.20 is: 150,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,520.45 : 470,405.27 = 100,321.20 : x
  2. Step 2: Convert to fraction form
    313,520.45/470,405.27 = 100,321.20/x
  3. Step 3: Cross multiply
    313,520.45x = 470,405.27 × 100,321.20
  4. Step 4: Simplify right side
    313,520.45x = 47,191,621,423.53
  5. Step 5: Solve for x
    x = 47,191,621,423.53/313,520.45
  6. Step 6: Final answer
    x = 150,521.67

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