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Finding the Fourth Proportional to 405,825.25, 560,040.77 and 226,977.25

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Solution

The fourth proportional to 405,825.25, 560,040.77 and 226,977.25 is: 313,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,825.25 : 560,040.77 = 226,977.25 : x
  2. Step 2: Convert to fraction form
    405,825.25/560,040.77 = 226,977.25/x
  3. Step 3: Cross multiply
    405,825.25x = 560,040.77 × 226,977.25
  4. Step 4: Simplify right side
    405,825.25x = 127,116,512,727.60
  5. Step 5: Solve for x
    x = 127,116,512,727.60/405,825.25
  6. Step 6: Final answer
    x = 313,229.68

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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.