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Finding the Fourth Proportional to 271,723.20, 407,584.80 and 242,692.80

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Solution

The fourth proportional to 271,723.20, 407,584.80 and 242,692.80 is: 364,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,723.20 : 407,584.80 = 242,692.80 : x
  2. Step 2: Convert to fraction form
    271,723.20/407,584.80 = 242,692.80/x
  3. Step 3: Cross multiply
    271,723.20x = 407,584.80 × 242,692.80
  4. Step 4: Simplify right side
    271,723.20x = 98,917,896,349.44
  5. Step 5: Solve for x
    x = 98,917,896,349.44/271,723.20
  6. Step 6: Final answer
    x = 364,039.20

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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.