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Finding the Fourth Proportional to 311,558.84, 467,004.54 and 222,542.36

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Solution

The fourth proportional to 311,558.84, 467,004.54 and 222,542.36 is: 333,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,558.84 : 467,004.54 = 222,542.36 : x
  2. Step 2: Convert to fraction form
    311,558.84/467,004.54 = 222,542.36/x
  3. Step 3: Cross multiply
    311,558.84x = 467,004.54 × 222,542.36
  4. Step 4: Simplify right side
    311,558.84x = 103,928,292,462.31
  5. Step 5: Solve for x
    x = 103,928,292,462.31/311,558.84
  6. Step 6: Final answer
    x = 333,575.17

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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.