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Finding the Fourth Proportional to 489,604.64, 733,877.24 and 205,449.55

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Solution

The fourth proportional to 489,604.64, 733,877.24 and 205,449.55 is: 307,952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,604.64 : 733,877.24 = 205,449.55 : x
  2. Step 2: Convert to fraction form
    489,604.64/733,877.24 = 205,449.55/x
  3. Step 3: Cross multiply
    489,604.64x = 733,877.24 × 205,449.55
  4. Step 4: Simplify right side
    489,604.64x = 150,774,745,851.30
  5. Step 5: Solve for x
    x = 150,774,745,851.30/489,604.64
  6. Step 6: Final answer
    x = 307,952.04

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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.