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Finding the Fourth Proportional to 599,574.02, 827,410.45 and 327,643.64

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Solution

The fourth proportional to 599,574.02, 827,410.45 and 327,643.64 is: 452,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,574.02 : 827,410.45 = 327,643.64 : x
  2. Step 2: Convert to fraction form
    599,574.02/827,410.45 = 327,643.64/x
  3. Step 3: Cross multiply
    599,574.02x = 827,410.45 × 327,643.64
  4. Step 4: Simplify right side
    599,574.02x = 271,095,767,884.54
  5. Step 5: Solve for x
    x = 271,095,767,884.54/599,574.02
  6. Step 6: Final answer
    x = 452,147.29

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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.