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Finding the Fourth Proportional to 400,592.25, 552,817.31 and 221,744.25

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Solution

The fourth proportional to 400,592.25, 552,817.31 and 221,744.25 is: 306,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,592.25 : 552,817.31 = 221,744.25 : x
  2. Step 2: Convert to fraction form
    400,592.25/552,817.31 = 221,744.25/x
  3. Step 3: Cross multiply
    400,592.25x = 552,817.31 × 221,744.25
  4. Step 4: Simplify right side
    400,592.25x = 122,584,058,684.25
  5. Step 5: Solve for x
    x = 122,584,058,684.25/400,592.25
  6. Step 6: Final answer
    x = 306,007.07

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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.