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Finding the Fourth Proportional to 595,986, 822,460.68 and 327,714

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Solution

The fourth proportional to 595,986, 822,460.68 and 327,714 is: 452,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,986 : 822,460.68 = 327,714 : x
  2. Step 2: Convert to fraction form
    595,986/822,460.68 = 327,714/x
  3. Step 3: Cross multiply
    595,986x = 822,460.68 × 327,714
  4. Step 4: Simplify right side
    595,986x = 269,531,879,285.52
  5. Step 5: Solve for x
    x = 269,531,879,285.52/595,986
  6. Step 6: Final answer
    x = 452,245.32

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