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Finding the Fourth Proportional to 595,989, 822,464.82 and 327,717

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Solution

The fourth proportional to 595,989, 822,464.82 and 327,717 is: 452,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,989 : 822,464.82 = 327,717 : x
  2. Step 2: Convert to fraction form
    595,989/822,464.82 = 327,717/x
  3. Step 3: Cross multiply
    595,989x = 822,464.82 × 327,717
  4. Step 4: Simplify right side
    595,989x = 269,535,703,415.94
  5. Step 5: Solve for x
    x = 269,535,703,415.94/595,989
  6. Step 6: Final answer
    x = 452,249.46

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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.