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Finding the Fourth Proportional to 333,361.84, 500,094.72 and 111,694

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Solution

The fourth proportional to 333,361.84, 500,094.72 and 111,694 is: 167,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,361.84 : 500,094.72 = 111,694 : x
  2. Step 2: Convert to fraction form
    333,361.84/500,094.72 = 111,694/x
  3. Step 3: Cross multiply
    333,361.84x = 500,094.72 × 111,694
  4. Step 4: Simplify right side
    333,361.84x = 55,857,579,655.68
  5. Step 5: Solve for x
    x = 55,857,579,655.68/333,361.84
  6. Step 6: Final answer
    x = 167,558.41

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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.