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Finding the Fourth Proportional to 468,808.70, 646,942.70 and 275,213.33

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Solution

The fourth proportional to 468,808.70, 646,942.70 and 275,213.33 is: 379,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,808.70 : 646,942.70 = 275,213.33 : x
  2. Step 2: Convert to fraction form
    468,808.70/646,942.70 = 275,213.33/x
  3. Step 3: Cross multiply
    468,808.70x = 646,942.70 × 275,213.33
  4. Step 4: Simplify right side
    468,808.70x = 178,047,252,239.51
  5. Step 5: Solve for x
    x = 178,047,252,239.51/468,808.70
  6. Step 6: Final answer
    x = 379,786.58

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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.