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Finding the Fourth Proportional to 323,546.65, 446,527.77 and 194,527.33

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Solution

The fourth proportional to 323,546.65, 446,527.77 and 194,527.33 is: 268,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,546.65 : 446,527.77 = 194,527.33 : x
  2. Step 2: Convert to fraction form
    323,546.65/446,527.77 = 194,527.33/x
  3. Step 3: Cross multiply
    323,546.65x = 446,527.77 × 194,527.33
  4. Step 4: Simplify right side
    323,546.65x = 86,861,854,868.95
  5. Step 5: Solve for x
    x = 86,861,854,868.95/323,546.65
  6. Step 6: Final answer
    x = 268,467.79

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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.