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Finding the Fourth Proportional to 275,810.44, 414,338.47 and 163,564.28

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Solution

The fourth proportional to 275,810.44, 414,338.47 and 163,564.28 is: 245,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,810.44 : 414,338.47 = 163,564.28 : x
  2. Step 2: Convert to fraction form
    275,810.44/414,338.47 = 163,564.28/x
  3. Step 3: Cross multiply
    275,810.44x = 414,338.47 × 163,564.28
  4. Step 4: Simplify right side
    275,810.44x = 67,770,972,704.03
  5. Step 5: Solve for x
    x = 67,770,972,704.03/275,810.44
  6. Step 6: Final answer
    x = 245,715.77

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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.