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Finding the Fourth Proportional to 598,907, 826,492.92 and 326,975

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Solution

The fourth proportional to 598,907, 826,492.92 and 326,975 is: 451,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,907 : 826,492.92 = 326,975 : x
  2. Step 2: Convert to fraction form
    598,907/826,492.92 = 326,975/x
  3. Step 3: Cross multiply
    598,907x = 826,492.92 × 326,975
  4. Step 4: Simplify right side
    598,907x = 270,242,522,517
  5. Step 5: Solve for x
    x = 270,242,522,517/598,907
  6. Step 6: Final answer
    x = 451,226.19

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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.