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Finding the Fourth Proportional to 311,641.75, 429,992.36 and 189,131.41

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Solution

The fourth proportional to 311,641.75, 429,992.36 and 189,131.41 is: 260,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,641.75 : 429,992.36 = 189,131.41 : x
  2. Step 2: Convert to fraction form
    311,641.75/429,992.36 = 189,131.41/x
  3. Step 3: Cross multiply
    311,641.75x = 429,992.36 × 189,131.41
  4. Step 4: Simplify right side
    311,641.75x = 81,325,061,336.03
  5. Step 5: Solve for x
    x = 81,325,061,336.03/311,641.75
  6. Step 6: Final answer
    x = 260,956.89

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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.