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Finding the Fourth Proportional to 411,786.94, 568,275.60 and 230,494.36

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Solution

The fourth proportional to 411,786.94, 568,275.60 and 230,494.36 is: 318,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,786.94 : 568,275.60 = 230,494.36 : x
  2. Step 2: Convert to fraction form
    411,786.94/568,275.60 = 230,494.36/x
  3. Step 3: Cross multiply
    411,786.94x = 568,275.60 × 230,494.36
  4. Step 4: Simplify right side
    411,786.94x = 130,984,320,725.62
  5. Step 5: Solve for x
    x = 130,984,320,725.62/411,786.94
  6. Step 6: Final answer
    x = 318,087.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.