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Finding the Fourth Proportional to 422,474.93, 633,713.35 and 102,625.37

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Solution

The fourth proportional to 422,474.93, 633,713.35 and 102,625.37 is: 153,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,474.93 : 633,713.35 = 102,625.37 : x
  2. Step 2: Convert to fraction form
    422,474.93/633,713.35 = 102,625.37/x
  3. Step 3: Cross multiply
    422,474.93x = 633,713.35 × 102,625.37
  4. Step 4: Simplify right side
    422,474.93x = 65,035,067,017.69
  5. Step 5: Solve for x
    x = 65,035,067,017.69/422,474.93
  6. Step 6: Final answer
    x = 153,938.29

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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.