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Finding the Fourth Proportional to 488,702.33, 733,042.83 and 133,716.33

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Solution

The fourth proportional to 488,702.33, 733,042.83 and 133,716.33 is: 200,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,702.33 : 733,042.83 = 133,716.33 : x
  2. Step 2: Convert to fraction form
    488,702.33/733,042.83 = 133,716.33/x
  3. Step 3: Cross multiply
    488,702.33x = 733,042.83 × 133,716.33
  4. Step 4: Simplify right side
    488,702.33x = 98,019,796,960.41
  5. Step 5: Solve for x
    x = 98,019,796,960.41/488,702.33
  6. Step 6: Final answer
    x = 200,571.58

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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.