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Finding the Fourth Proportional to 374,092.25, 516,247.31 and 204,326.78

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Solution

The fourth proportional to 374,092.25, 516,247.31 and 204,326.78 is: 281,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,092.25 : 516,247.31 = 204,326.78 : x
  2. Step 2: Convert to fraction form
    374,092.25/516,247.31 = 204,326.78/x
  3. Step 3: Cross multiply
    374,092.25x = 516,247.31 × 204,326.78
  4. Step 4: Simplify right side
    374,092.25x = 105,483,149,514.33
  5. Step 5: Solve for x
    x = 105,483,149,514.33/374,092.25
  6. Step 6: Final answer
    x = 281,970.96

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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.