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Finding the Fourth Proportional to 489,054.89, 733,793.52 and 264,573.46

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Solution

The fourth proportional to 489,054.89, 733,793.52 and 264,573.46 is: 396,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,054.89 : 733,793.52 = 264,573.46 : x
  2. Step 2: Convert to fraction form
    489,054.89/733,793.52 = 264,573.46/x
  3. Step 3: Cross multiply
    489,054.89x = 733,793.52 × 264,573.46
  4. Step 4: Simplify right side
    489,054.89x = 194,142,292,624.88
  5. Step 5: Solve for x
    x = 194,142,292,624.88/489,054.89
  6. Step 6: Final answer
    x = 396,974.44

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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.