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Finding the Fourth Proportional to 699,328, 1,048,995.84 and 174,016

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Solution

The fourth proportional to 699,328, 1,048,995.84 and 174,016 is: 261,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,328 : 1,048,995.84 = 174,016 : x
  2. Step 2: Convert to fraction form
    699,328/1,048,995.84 = 174,016/x
  3. Step 3: Cross multiply
    699,328x = 1,048,995.84 × 174,016
  4. Step 4: Simplify right side
    699,328x = 182,542,060,093.44
  5. Step 5: Solve for x
    x = 182,542,060,093.44/699,328
  6. Step 6: Final answer
    x = 261,024.96

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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.