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Finding the Fourth Proportional to 313,929.24, 470,883.29 and 136,436.27

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Solution

The fourth proportional to 313,929.24, 470,883.29 and 136,436.27 is: 204,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,929.24 : 470,883.29 = 136,436.27 : x
  2. Step 2: Convert to fraction form
    313,929.24/470,883.29 = 136,436.27/x
  3. Step 3: Cross multiply
    313,929.24x = 470,883.29 × 136,436.27
  4. Step 4: Simplify right side
    313,929.24x = 64,245,556,656.33
  5. Step 5: Solve for x
    x = 64,245,556,656.33/313,929.24
  6. Step 6: Final answer
    x = 204,649.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.