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Finding the Fourth Proportional to 223,678, 335,517 and 57,466

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Solution

The fourth proportional to 223,678, 335,517 and 57,466 is: 86,199

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,678 : 335,517 = 57,466 : x
  2. Step 2: Convert to fraction form
    223,678/335,517 = 57,466/x
  3. Step 3: Cross multiply
    223,678x = 335,517 × 57,466
  4. Step 4: Simplify right side
    223,678x = 19,280,819,922
  5. Step 5: Solve for x
    x = 19,280,819,922/223,678
  6. Step 6: Final answer
    x = 86,199

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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.