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Finding the Fourth Proportional to 489,443.88, 733,296.78 and 204,507.17

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Solution

The fourth proportional to 489,443.88, 733,296.78 and 204,507.17 is: 306,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,443.88 : 733,296.78 = 204,507.17 : x
  2. Step 2: Convert to fraction form
    489,443.88/733,296.78 = 204,507.17/x
  3. Step 3: Cross multiply
    489,443.88x = 733,296.78 × 204,507.17
  4. Step 4: Simplify right side
    489,443.88x = 149,964,445,581.43
  5. Step 5: Solve for x
    x = 149,964,445,581.43/489,443.88
  6. Step 6: Final answer
    x = 306,397.63

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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.