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Finding the Fourth Proportional to 300,542.67, 414,743.42 and 164,574.11

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Solution

The fourth proportional to 300,542.67, 414,743.42 and 164,574.11 is: 227,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,542.67 : 414,743.42 = 164,574.11 : x
  2. Step 2: Convert to fraction form
    300,542.67/414,743.42 = 164,574.11/x
  3. Step 3: Cross multiply
    300,542.67x = 414,743.42 × 164,574.11
  4. Step 4: Simplify right side
    300,542.67x = 68,256,030,673.15
  5. Step 5: Solve for x
    x = 68,256,030,673.15/300,542.67
  6. Step 6: Final answer
    x = 227,109.28

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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.