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Finding the Fourth Proportional to 313,846.75, 433,099.39 and 177,893.21

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Solution

The fourth proportional to 313,846.75, 433,099.39 and 177,893.21 is: 245,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,846.75 : 433,099.39 = 177,893.21 : x
  2. Step 2: Convert to fraction form
    313,846.75/433,099.39 = 177,893.21/x
  3. Step 3: Cross multiply
    313,846.75x = 433,099.39 × 177,893.21
  4. Step 4: Simplify right side
    313,846.75x = 77,045,440,736.14
  5. Step 5: Solve for x
    x = 77,045,440,736.14/313,846.75
  6. Step 6: Final answer
    x = 245,487.46

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Half scale
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Double scale
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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.