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Finding the Fourth Proportional to 333,722.62, 500,434.26 and 198,850.25

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Solution

The fourth proportional to 333,722.62, 500,434.26 and 198,850.25 is: 298,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,722.62 : 500,434.26 = 198,850.25 : x
  2. Step 2: Convert to fraction form
    333,722.62/500,434.26 = 198,850.25/x
  3. Step 3: Cross multiply
    333,722.62x = 500,434.26 × 198,850.25
  4. Step 4: Simplify right side
    333,722.62x = 99,511,476,209.92
  5. Step 5: Solve for x
    x = 99,511,476,209.92/333,722.62
  6. Step 6: Final answer
    x = 298,186.19

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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.