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Finding the Fourth Proportional to 263,574, 363,751.56 and 162,991.44

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Solution

The fourth proportional to 263,574, 363,751.56 and 162,991.44 is: 224,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,574 : 363,751.56 = 162,991.44 : x
  2. Step 2: Convert to fraction form
    263,574/363,751.56 = 162,991.44/x
  3. Step 3: Cross multiply
    263,574x = 363,751.56 × 162,991.44
  4. Step 4: Simplify right side
    263,574x = 59,288,390,566.65
  5. Step 5: Solve for x
    x = 59,288,390,566.65/263,574
  6. Step 6: Final answer
    x = 224,940.21

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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.