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Finding the Fourth Proportional to 271,832.50, 407,812.54 and 82,294.32

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Solution

The fourth proportional to 271,832.50, 407,812.54 and 82,294.32 is: 123,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,832.50 : 407,812.54 = 82,294.32 : x
  2. Step 2: Convert to fraction form
    271,832.50/407,812.54 = 82,294.32/x
  3. Step 3: Cross multiply
    271,832.50x = 407,812.54 × 82,294.32
  4. Step 4: Simplify right side
    271,832.50x = 33,560,655,461.04
  5. Step 5: Solve for x
    x = 33,560,655,461.04/271,832.50
  6. Step 6: Final answer
    x = 123,460.79

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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.