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Finding the Fourth Proportional to 786,505, 1,179,761.82 and 195,529

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Solution

The fourth proportional to 786,505, 1,179,761.82 and 195,529 is: 293,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,505 : 1,179,761.82 = 195,529 : x
  2. Step 2: Convert to fraction form
    786,505/1,179,761.82 = 195,529/x
  3. Step 3: Cross multiply
    786,505x = 1,179,761.82 × 195,529
  4. Step 4: Simplify right side
    786,505x = 230,677,648,902.78
  5. Step 5: Solve for x
    x = 230,677,648,902.78/786,505
  6. Step 6: Final answer
    x = 293,294.57

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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.