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Finding the Fourth Proportional to 313,930.42, 470,895.63 and 92,314.42

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Solution

The fourth proportional to 313,930.42, 470,895.63 and 92,314.42 is: 138,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,930.42 : 470,895.63 = 92,314.42 : x
  2. Step 2: Convert to fraction form
    313,930.42/470,895.63 = 92,314.42/x
  3. Step 3: Cross multiply
    313,930.42x = 470,895.63 × 92,314.42
  4. Step 4: Simplify right side
    313,930.42x = 43,470,456,963.98
  5. Step 5: Solve for x
    x = 43,470,456,963.98/313,930.42
  6. Step 6: Final answer
    x = 138,471.63

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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.