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Finding the Fourth Proportional to 271,763.80, 407,659.90 and 82,219.40

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Solution

The fourth proportional to 271,763.80, 407,659.90 and 82,219.40 is: 123,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,763.80 : 407,659.90 = 82,219.40 : x
  2. Step 2: Convert to fraction form
    271,763.80/407,659.90 = 82,219.40/x
  3. Step 3: Cross multiply
    271,763.80x = 407,659.90 × 82,219.40
  4. Step 4: Simplify right side
    271,763.80x = 33,517,552,382.06
  5. Step 5: Solve for x
    x = 33,517,552,382.06/271,763.80
  6. Step 6: Final answer
    x = 123,333.40

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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.