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Finding the Fourth Proportional to 405,824, 560,039.04 and 226,976

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Solution

The fourth proportional to 405,824, 560,039.04 and 226,976 is: 313,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,824 : 560,039.04 = 226,976 : x
  2. Step 2: Convert to fraction form
    405,824/560,039.04 = 226,976/x
  3. Step 3: Cross multiply
    405,824x = 560,039.04 × 226,976
  4. Step 4: Simplify right side
    405,824x = 127,115,421,143.04
  5. Step 5: Solve for x
    x = 127,115,421,143.04/405,824
  6. Step 6: Final answer
    x = 313,227.95

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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.