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Finding the Fourth Proportional to 505,975.03, 698,343 and 324,915.73

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Solution

The fourth proportional to 505,975.03, 698,343 and 324,915.73 is: 448,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,975.03 : 698,343 = 324,915.73 : x
  2. Step 2: Convert to fraction form
    505,975.03/698,343 = 324,915.73/x
  3. Step 3: Cross multiply
    505,975.03x = 698,343 × 324,915.73
  4. Step 4: Simplify right side
    505,975.03x = 226,902,625,635.39
  5. Step 5: Solve for x
    x = 226,902,625,635.39/505,975.03
  6. Step 6: Final answer
    x = 448,446.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.