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Finding the Fourth Proportional to 313,929.36, 470,883.60 and 136,436.58

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Solution

The fourth proportional to 313,929.36, 470,883.60 and 136,436.58 is: 204,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,929.36 : 470,883.60 = 136,436.58 : x
  2. Step 2: Convert to fraction form
    313,929.36/470,883.60 = 136,436.58/x
  3. Step 3: Cross multiply
    313,929.36x = 470,883.60 × 136,436.58
  4. Step 4: Simplify right side
    313,929.36x = 64,245,747,962.09
  5. Step 5: Solve for x
    x = 64,245,747,962.09/313,929.36
  6. Step 6: Final answer
    x = 204,650.33

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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.