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Finding the Fourth Proportional to 381,452.94, 525,204.81 and 323,968.86

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Solution

The fourth proportional to 381,452.94, 525,204.81 and 323,968.86 is: 446,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,452.94 : 525,204.81 = 323,968.86 : x
  2. Step 2: Convert to fraction form
    381,452.94/525,204.81 = 323,968.86/x
  3. Step 3: Cross multiply
    381,452.94x = 525,204.81 × 323,968.86
  4. Step 4: Simplify right side
    381,452.94x = 170,150,003,562.22
  5. Step 5: Solve for x
    x = 170,150,003,562.22/381,452.94
  6. Step 6: Final answer
    x = 446,057.65

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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.