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Finding the Fourth Proportional to 842,747.26, 1,162,983.26 and 460,769.98

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Solution

The fourth proportional to 842,747.26, 1,162,983.26 and 460,769.98 is: 635,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,747.26 : 1,162,983.26 = 460,769.98 : x
  2. Step 2: Convert to fraction form
    842,747.26/1,162,983.26 = 460,769.98/x
  3. Step 3: Cross multiply
    842,747.26x = 1,162,983.26 × 460,769.98
  4. Step 4: Simplify right side
    842,747.26x = 535,867,773,450.54
  5. Step 5: Solve for x
    x = 535,867,773,450.54/842,747.26
  6. Step 6: Final answer
    x = 635,858.22

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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.