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Finding the Fourth Proportional to 264,696.33, 397,043.55 and 114,917.07

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Solution

The fourth proportional to 264,696.33, 397,043.55 and 114,917.07 is: 172,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,696.33 : 397,043.55 = 114,917.07 : x
  2. Step 2: Convert to fraction form
    264,696.33/397,043.55 = 114,917.07/x
  3. Step 3: Cross multiply
    264,696.33x = 397,043.55 × 114,917.07
  4. Step 4: Simplify right side
    264,696.33x = 45,627,081,428.40
  5. Step 5: Solve for x
    x = 45,627,081,428.40/264,696.33
  6. Step 6: Final answer
    x = 172,375.19

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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.