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Finding the Fourth Proportional to 331,831.44, 497,747.52 and 82,513.44

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Solution

The fourth proportional to 331,831.44, 497,747.52 and 82,513.44 is: 123,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,831.44 : 497,747.52 = 82,513.44 : x
  2. Step 2: Convert to fraction form
    331,831.44/497,747.52 = 82,513.44/x
  3. Step 3: Cross multiply
    331,831.44x = 497,747.52 × 82,513.44
  4. Step 4: Simplify right side
    331,831.44x = 41,070,860,126.67
  5. Step 5: Solve for x
    x = 41,070,860,126.67/331,831.44
  6. Step 6: Final answer
    x = 123,770.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.