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Finding the Fourth Proportional to 339,741.38, 468,831.15 and 186,778.46

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Solution

The fourth proportional to 339,741.38, 468,831.15 and 186,778.46 is: 257,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,741.38 : 468,831.15 = 186,778.46 : x
  2. Step 2: Convert to fraction form
    339,741.38/468,831.15 = 186,778.46/x
  3. Step 3: Cross multiply
    339,741.38x = 468,831.15 × 186,778.46
  4. Step 4: Simplify right side
    339,741.38x = 87,567,560,197.03
  5. Step 5: Solve for x
    x = 87,567,560,197.03/339,741.38
  6. Step 6: Final answer
    x = 257,747.71

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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.