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Finding the Fourth Proportional to 303,211.20, 454,816.80 and 214,564.80

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Solution

The fourth proportional to 303,211.20, 454,816.80 and 214,564.80 is: 321,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,211.20 : 454,816.80 = 214,564.80 : x
  2. Step 2: Convert to fraction form
    303,211.20/454,816.80 = 214,564.80/x
  3. Step 3: Cross multiply
    303,211.20x = 454,816.80 × 214,564.80
  4. Step 4: Simplify right side
    303,211.20x = 97,587,675,728.64
  5. Step 5: Solve for x
    x = 97,587,675,728.64/303,211.20
  6. Step 6: Final answer
    x = 321,847.20

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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.