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Finding the Fourth Proportional to 599,482.47, 827,284.50 and 327,552.30

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Solution

The fourth proportional to 599,482.47, 827,284.50 and 327,552.30 is: 452,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,482.47 : 827,284.50 = 327,552.30 : x
  2. Step 2: Convert to fraction form
    599,482.47/827,284.50 = 327,552.30/x
  3. Step 3: Cross multiply
    599,482.47x = 827,284.50 × 327,552.30
  4. Step 4: Simplify right side
    599,482.47x = 270,978,940,729.35
  5. Step 5: Solve for x
    x = 270,978,940,729.35/599,482.47
  6. Step 6: Final answer
    x = 452,021.46

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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.