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Finding the Fourth Proportional to 489,057.88, 733,798.02 and 264,576.46

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Solution

The fourth proportional to 489,057.88, 733,798.02 and 264,576.46 is: 396,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,057.88 : 733,798.02 = 264,576.46 : x
  2. Step 2: Convert to fraction form
    489,057.88/733,798.02 = 264,576.46/x
  3. Step 3: Cross multiply
    489,057.88x = 733,798.02 × 264,576.46
  4. Step 4: Simplify right side
    489,057.88x = 194,145,682,486.61
  5. Step 5: Solve for x
    x = 194,145,682,486.61/489,057.88
  6. Step 6: Final answer
    x = 396,978.95

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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.