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Finding the Fourth Proportional to 271,803.20, 407,704.80 and 229,812.80

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Solution

The fourth proportional to 271,803.20, 407,704.80 and 229,812.80 is: 344,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,803.20 : 407,704.80 = 229,812.80 : x
  2. Step 2: Convert to fraction form
    271,803.20/407,704.80 = 229,812.80/x
  3. Step 3: Cross multiply
    271,803.20x = 407,704.80 × 229,812.80
  4. Step 4: Simplify right side
    271,803.20x = 93,695,781,661.44
  5. Step 5: Solve for x
    x = 93,695,781,661.44/271,803.20
  6. Step 6: Final answer
    x = 344,719.20

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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.