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Finding the Fourth Proportional to 311,533.92, 429,906.56 and 196,873.83

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Solution

The fourth proportional to 311,533.92, 429,906.56 and 196,873.83 is: 271,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,533.92 : 429,906.56 = 196,873.83 : x
  2. Step 2: Convert to fraction form
    311,533.92/429,906.56 = 196,873.83/x
  3. Step 3: Cross multiply
    311,533.92x = 429,906.56 × 196,873.83
  4. Step 4: Simplify right side
    311,533.92x = 84,637,350,024.96
  5. Step 5: Solve for x
    x = 84,637,350,024.96/311,533.92
  6. Step 6: Final answer
    x = 271,679.41

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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.