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Finding the Fourth Proportional to 313,945.82, 470,918.74 and 92,329.82

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Solution

The fourth proportional to 313,945.82, 470,918.74 and 92,329.82 is: 138,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,945.82 : 470,918.74 = 92,329.82 : x
  2. Step 2: Convert to fraction form
    313,945.82/470,918.74 = 92,329.82/x
  3. Step 3: Cross multiply
    313,945.82x = 470,918.74 × 92,329.82
  4. Step 4: Simplify right side
    313,945.82x = 43,479,842,498.83
  5. Step 5: Solve for x
    x = 43,479,842,498.83/313,945.82
  6. Step 6: Final answer
    x = 138,494.73

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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.