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Finding the Fourth Proportional to 599,295.24, 827,030.27 and 327,366.90

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Solution

The fourth proportional to 599,295.24, 827,030.27 and 327,366.90 is: 451,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,295.24 : 827,030.27 = 327,366.90 : x
  2. Step 2: Convert to fraction form
    599,295.24/827,030.27 = 327,366.90/x
  3. Step 3: Cross multiply
    599,295.24x = 827,030.27 × 327,366.90
  4. Step 4: Simplify right side
    599,295.24x = 270,742,334,059.23
  5. Step 5: Solve for x
    x = 270,742,334,059.23/599,295.24
  6. Step 6: Final answer
    x = 451,767.87

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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.