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Finding the Fourth Proportional to 313,266.94, 469,058.52 and 198,794.98

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Solution

The fourth proportional to 313,266.94, 469,058.52 and 198,794.98 is: 297,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,266.94 : 469,058.52 = 198,794.98 : x
  2. Step 2: Convert to fraction form
    313,266.94/469,058.52 = 198,794.98/x
  3. Step 3: Cross multiply
    313,266.94x = 469,058.52 × 198,794.98
  4. Step 4: Simplify right side
    313,266.94x = 93,246,481,194.15
  5. Step 5: Solve for x
    x = 93,246,481,194.15/313,266.94
  6. Step 6: Final answer
    x = 297,658.22

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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.