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Finding the Fourth Proportional to 230,954.44, 318,467.36 and 200,478.60

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Solution

The fourth proportional to 230,954.44, 318,467.36 and 200,478.60 is: 276,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,954.44 : 318,467.36 = 200,478.60 : x
  2. Step 2: Convert to fraction form
    230,954.44/318,467.36 = 200,478.60/x
  3. Step 3: Cross multiply
    230,954.44x = 318,467.36 × 200,478.60
  4. Step 4: Simplify right side
    230,954.44x = 63,845,890,478.50
  5. Step 5: Solve for x
    x = 63,845,890,478.50/230,954.44
  6. Step 6: Final answer
    x = 276,443.66

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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.