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Finding the Fourth Proportional to 599,701.56, 827,574.10 and 327,771.19

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Solution

The fourth proportional to 599,701.56, 827,574.10 and 327,771.19 is: 452,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,701.56 : 827,574.10 = 327,771.19 : x
  2. Step 2: Convert to fraction form
    599,701.56/827,574.10 = 327,771.19/x
  3. Step 3: Cross multiply
    599,701.56x = 827,574.10 × 327,771.19
  4. Step 4: Simplify right side
    599,701.56x = 271,254,947,570.18
  5. Step 5: Solve for x
    x = 271,254,947,570.18/599,701.56
  6. Step 6: Final answer
    x = 452,316.56

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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.