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Finding the Fourth Proportional to 300,716.61, 414,988.86 and 164,755.38

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Solution

The fourth proportional to 300,716.61, 414,988.86 and 164,755.38 is: 227,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,716.61 : 414,988.86 = 164,755.38 : x
  2. Step 2: Convert to fraction form
    300,716.61/414,988.86 = 164,755.38/x
  3. Step 3: Cross multiply
    300,716.61x = 414,988.86 × 164,755.38
  4. Step 4: Simplify right side
    300,716.61x = 68,371,647,325.07
  5. Step 5: Solve for x
    x = 68,371,647,325.07/300,716.61
  6. Step 6: Final answer
    x = 227,362.39

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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.