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Finding the Fourth Proportional to 489,098.50, 733,858.96 and 264,617.12

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Solution

The fourth proportional to 489,098.50, 733,858.96 and 264,617.12 is: 397,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,098.50 : 733,858.96 = 264,617.12 : x
  2. Step 2: Convert to fraction form
    489,098.50/733,858.96 = 264,617.12/x
  3. Step 3: Cross multiply
    489,098.50x = 733,858.96 × 264,617.12
  4. Step 4: Simplify right side
    489,098.50x = 194,191,644,481.40
  5. Step 5: Solve for x
    x = 194,191,644,481.40/489,098.50
  6. Step 6: Final answer
    x = 397,039.95

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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.