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Finding the Fourth Proportional to 317,297.75, 475,980.00 and 92,658.82

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Solution

The fourth proportional to 317,297.75, 475,980.00 and 92,658.82 is: 138,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,297.75 : 475,980.00 = 92,658.82 : x
  2. Step 2: Convert to fraction form
    317,297.75/475,980.00 = 92,658.82/x
  3. Step 3: Cross multiply
    317,297.75x = 475,980.00 × 92,658.82
  4. Step 4: Simplify right side
    317,297.75x = 44,103,743,722.00
  5. Step 5: Solve for x
    x = 44,103,743,722.00/317,297.75
  6. Step 6: Final answer
    x = 138,997.97

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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.