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Finding the Fourth Proportional to 270,051.36, 404,696.74 and 206,625.92

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Solution

The fourth proportional to 270,051.36, 404,696.74 and 206,625.92 is: 309,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,051.36 : 404,696.74 = 206,625.92 : x
  2. Step 2: Convert to fraction form
    270,051.36/404,696.74 = 206,625.92/x
  3. Step 3: Cross multiply
    270,051.36x = 404,696.74 × 206,625.92
  4. Step 4: Simplify right side
    270,051.36x = 83,620,836,223.50
  5. Step 5: Solve for x
    x = 83,620,836,223.50/270,051.36
  6. Step 6: Final answer
    x = 309,647.90

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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.