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Finding the Fourth Proportional to 465,816.73, 698,644.05 and 150,273.64

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Solution

The fourth proportional to 465,816.73, 698,644.05 and 150,273.64 is: 225,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,816.73 : 698,644.05 = 150,273.64 : x
  2. Step 2: Convert to fraction form
    465,816.73/698,644.05 = 150,273.64/x
  3. Step 3: Cross multiply
    465,816.73x = 698,644.05 × 150,273.64
  4. Step 4: Simplify right side
    465,816.73x = 104,987,780,837.75
  5. Step 5: Solve for x
    x = 104,987,780,837.75/465,816.73
  6. Step 6: Final answer
    x = 225,384.31

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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.