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Finding the Fourth Proportional to 341,028.92, 470,623.02 and 205,067

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Solution

The fourth proportional to 341,028.92, 470,623.02 and 205,067 is: 282,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,028.92 : 470,623.02 = 205,067 : x
  2. Step 2: Convert to fraction form
    341,028.92/470,623.02 = 205,067/x
  3. Step 3: Cross multiply
    341,028.92x = 470,623.02 × 205,067
  4. Step 4: Simplify right side
    341,028.92x = 96,509,250,842.34
  5. Step 5: Solve for x
    x = 96,509,250,842.34/341,028.92
  6. Step 6: Final answer
    x = 282,994.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.