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Finding the Fourth Proportional to 313,683.20, 470,524.80 and 214,150.40

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Solution

The fourth proportional to 313,683.20, 470,524.80 and 214,150.40 is: 321,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,683.20 : 470,524.80 = 214,150.40 : x
  2. Step 2: Convert to fraction form
    313,683.20/470,524.80 = 214,150.40/x
  3. Step 3: Cross multiply
    313,683.20x = 470,524.80 × 214,150.40
  4. Step 4: Simplify right side
    313,683.20x = 100,763,074,129.92
  5. Step 5: Solve for x
    x = 100,763,074,129.92/313,683.20
  6. Step 6: Final answer
    x = 321,225.60

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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.