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Finding the Fourth Proportional to 316,286.78, 436,476.80 and 173,046.38

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Solution

The fourth proportional to 316,286.78, 436,476.80 and 173,046.38 is: 238,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,286.78 : 436,476.80 = 173,046.38 : x
  2. Step 2: Convert to fraction form
    316,286.78/436,476.80 = 173,046.38/x
  3. Step 3: Cross multiply
    316,286.78x = 436,476.80 × 173,046.38
  4. Step 4: Simplify right side
    316,286.78x = 75,530,728,444.22
  5. Step 5: Solve for x
    x = 75,530,728,444.22/316,286.78
  6. Step 6: Final answer
    x = 238,804.57

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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.