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Finding the Fourth Proportional to 532,611.75, 735,026.09 and 306,257.25

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Solution

The fourth proportional to 532,611.75, 735,026.09 and 306,257.25 is: 422,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,611.75 : 735,026.09 = 306,257.25 : x
  2. Step 2: Convert to fraction form
    532,611.75/735,026.09 = 306,257.25/x
  3. Step 3: Cross multiply
    532,611.75x = 735,026.09 × 306,257.25
  4. Step 4: Simplify right side
    532,611.75x = 225,107,067,470.37
  5. Step 5: Solve for x
    x = 225,107,067,470.37/532,611.75
  6. Step 6: Final answer
    x = 422,647.58

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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.