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Finding the Fourth Proportional to 893,546, 1,233,093.48 and 491,138

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Solution

The fourth proportional to 893,546, 1,233,093.48 and 491,138 is: 677,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,546 : 1,233,093.48 = 491,138 : x
  2. Step 2: Convert to fraction form
    893,546/1,233,093.48 = 491,138/x
  3. Step 3: Cross multiply
    893,546x = 1,233,093.48 × 491,138
  4. Step 4: Simplify right side
    893,546x = 605,619,065,580.24
  5. Step 5: Solve for x
    x = 605,619,065,580.24/893,546
  6. Step 6: Final answer
    x = 677,770.44

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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.