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Finding the Fourth Proportional to 365,846.96, 504,947.64 and 222,653.04

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Solution

The fourth proportional to 365,846.96, 504,947.64 and 222,653.04 is: 307,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,846.96 : 504,947.64 = 222,653.04 : x
  2. Step 2: Convert to fraction form
    365,846.96/504,947.64 = 222,653.04/x
  3. Step 3: Cross multiply
    365,846.96x = 504,947.64 × 222,653.04
  4. Step 4: Simplify right side
    365,846.96x = 112,428,127,086.83
  5. Step 5: Solve for x
    x = 112,428,127,086.83/365,846.96
  6. Step 6: Final answer
    x = 307,309.17

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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.