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Finding the Fourth Proportional to 294,506.54, 406,408.22 and 179,976.84

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Solution

The fourth proportional to 294,506.54, 406,408.22 and 179,976.84 is: 248,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,506.54 : 406,408.22 = 179,976.84 : x
  2. Step 2: Convert to fraction form
    294,506.54/406,408.22 = 179,976.84/x
  3. Step 3: Cross multiply
    294,506.54x = 406,408.22 × 179,976.84
  4. Step 4: Simplify right side
    294,506.54x = 73,144,067,185.62
  5. Step 5: Solve for x
    x = 73,144,067,185.62/294,506.54
  6. Step 6: Final answer
    x = 248,361.44

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1.5x scale

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.