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Finding the Fourth Proportional to 489,059.88, 733,801.02 and 264,578.46

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Solution

The fourth proportional to 489,059.88, 733,801.02 and 264,578.46 is: 396,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,059.88 : 733,801.02 = 264,578.46 : x
  2. Step 2: Convert to fraction form
    489,059.88/733,801.02 = 264,578.46/x
  3. Step 3: Cross multiply
    489,059.88x = 733,801.02 × 264,578.46
  4. Step 4: Simplify right side
    489,059.88x = 194,147,943,818.03
  5. Step 5: Solve for x
    x = 194,147,943,818.03/489,059.88
  6. Step 6: Final answer
    x = 396,981.95

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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.