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Finding the Fourth Proportional to 204,446.80, 306,670.20 and 171,787.60

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Solution

The fourth proportional to 204,446.80, 306,670.20 and 171,787.60 is: 257,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,446.80 : 306,670.20 = 171,787.60 : x
  2. Step 2: Convert to fraction form
    204,446.80/306,670.20 = 171,787.60/x
  3. Step 3: Cross multiply
    204,446.80x = 306,670.20 × 171,787.60
  4. Step 4: Simplify right side
    204,446.80x = 52,682,137,649.52
  5. Step 5: Solve for x
    x = 52,682,137,649.52/204,446.80
  6. Step 6: Final answer
    x = 257,681.40

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1.5x scale

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.