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Finding the Fourth Proportional to 331,696.50, 497,544.75 and 110,080.50

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Solution

The fourth proportional to 331,696.50, 497,544.75 and 110,080.50 is: 165,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,696.50 : 497,544.75 = 110,080.50 : x
  2. Step 2: Convert to fraction form
    331,696.50/497,544.75 = 110,080.50/x
  3. Step 3: Cross multiply
    331,696.50x = 497,544.75 × 110,080.50
  4. Step 4: Simplify right side
    331,696.50x = 54,769,974,852.38
  5. Step 5: Solve for x
    x = 54,769,974,852.38/331,696.50
  6. Step 6: Final answer
    x = 165,120.75

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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.