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Finding the Fourth Proportional to 489,474.32, 733,257.38 and 275,588.46

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Solution

The fourth proportional to 489,474.32, 733,257.38 and 275,588.46 is: 412,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,474.32 : 733,257.38 = 275,588.46 : x
  2. Step 2: Convert to fraction form
    489,474.32/733,257.38 = 275,588.46/x
  3. Step 3: Cross multiply
    489,474.32x = 733,257.38 × 275,588.46
  4. Step 4: Simplify right side
    489,474.32x = 202,077,272,137.84
  5. Step 5: Solve for x
    x = 202,077,272,137.84/489,474.32
  6. Step 6: Final answer
    x = 412,845.50

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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.