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Finding the Fourth Proportional to 284,563.80, 426,845.70 and 271,441.80

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Solution

The fourth proportional to 284,563.80, 426,845.70 and 271,441.80 is: 407,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,563.80 : 426,845.70 = 271,441.80 : x
  2. Step 2: Convert to fraction form
    284,563.80/426,845.70 = 271,441.80/x
  3. Step 3: Cross multiply
    284,563.80x = 426,845.70 × 271,441.80
  4. Step 4: Simplify right side
    284,563.80x = 115,863,765,130.26
  5. Step 5: Solve for x
    x = 115,863,765,130.26/284,563.80
  6. Step 6: Final answer
    x = 407,162.70

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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.