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Finding the Fourth Proportional to 538,022.60, 806,969.10 and 222,446.60

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Solution

The fourth proportional to 538,022.60, 806,969.10 and 222,446.60 is: 333,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,022.60 : 806,969.10 = 222,446.60 : x
  2. Step 2: Convert to fraction form
    538,022.60/806,969.10 = 222,446.60/x
  3. Step 3: Cross multiply
    538,022.60x = 806,969.10 × 222,446.60
  4. Step 4: Simplify right side
    538,022.60x = 179,507,532,600.06
  5. Step 5: Solve for x
    x = 179,507,532,600.06/538,022.60
  6. Step 6: Final answer
    x = 333,643.11

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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.