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Finding the Fourth Proportional to 1,589,300, 2,193,234 and 873,908

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Solution

The fourth proportional to 1,589,300, 2,193,234 and 873,908 is: 1,205,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,300 : 2,193,234 = 873,908 : x
  2. Step 2: Convert to fraction form
    1,589,300/2,193,234 = 873,908/x
  3. Step 3: Cross multiply
    1,589,300x = 2,193,234 × 873,908
  4. Step 4: Simplify right side
    1,589,300x = 1,916,684,738,472
  5. Step 5: Solve for x
    x = 1,916,684,738,472/1,589,300
  6. Step 6: Final answer
    x = 1,205,993.04

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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.