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Finding the Fourth Proportional to 284,163.20, 426,705.60 and 205,827.20

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Solution

The fourth proportional to 284,163.20, 426,705.60 and 205,827.20 is: 309,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,163.20 : 426,705.60 = 205,827.20 : x
  2. Step 2: Convert to fraction form
    284,163.20/426,705.60 = 205,827.20/x
  3. Step 3: Cross multiply
    284,163.20x = 426,705.60 × 205,827.20
  4. Step 4: Simplify right side
    284,163.20x = 87,827,618,872.32
  5. Step 5: Solve for x
    x = 87,827,618,872.32/284,163.20
  6. Step 6: Final answer
    x = 309,074.57

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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.