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Finding the Fourth Proportional to 338,732.30, 467,416.90 and 195,538.48

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Solution

The fourth proportional to 338,732.30, 467,416.90 and 195,538.48 is: 269,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,732.30 : 467,416.90 = 195,538.48 : x
  2. Step 2: Convert to fraction form
    338,732.30/467,416.90 = 195,538.48/x
  3. Step 3: Cross multiply
    338,732.30x = 467,416.90 × 195,538.48
  4. Step 4: Simplify right side
    338,732.30x = 91,397,990,152.31
  5. Step 5: Solve for x
    x = 91,397,990,152.31/338,732.30
  6. Step 6: Final answer
    x = 269,823.66

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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.