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Finding the Fourth Proportional to 599,411.67, 827,188.74 and 327,484.11

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Solution

The fourth proportional to 599,411.67, 827,188.74 and 327,484.11 is: 451,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,411.67 : 827,188.74 = 327,484.11 : x
  2. Step 2: Convert to fraction form
    599,411.67/827,188.74 = 327,484.11/x
  3. Step 3: Cross multiply
    599,411.67x = 827,188.74 × 327,484.11
  4. Step 4: Simplify right side
    599,411.67x = 270,891,168,320.92
  5. Step 5: Solve for x
    x = 270,891,168,320.92/599,411.67
  6. Step 6: Final answer
    x = 451,928.42

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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.