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Finding the Fourth Proportional to 333,496.44, 500,321.88 and 96,843.60

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Solution

The fourth proportional to 333,496.44, 500,321.88 and 96,843.60 is: 145,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,496.44 : 500,321.88 = 96,843.60 : x
  2. Step 2: Convert to fraction form
    333,496.44/500,321.88 = 96,843.60/x
  3. Step 3: Cross multiply
    333,496.44x = 500,321.88 × 96,843.60
  4. Step 4: Simplify right side
    333,496.44x = 48,452,972,017.97
  5. Step 5: Solve for x
    x = 48,452,972,017.97/333,496.44
  6. Step 6: Final answer
    x = 145,287.82

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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.