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Finding the Fourth Proportional to 446,709.24, 670,053.22 and 109,749.28

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Solution

The fourth proportional to 446,709.24, 670,053.22 and 109,749.28 is: 164,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,709.24 : 670,053.22 = 109,749.28 : x
  2. Step 2: Convert to fraction form
    446,709.24/670,053.22 = 109,749.28/x
  3. Step 3: Cross multiply
    446,709.24x = 670,053.22 × 109,749.28
  4. Step 4: Simplify right side
    446,709.24x = 73,537,858,456.68
  5. Step 5: Solve for x
    x = 73,537,858,456.68/446,709.24
  6. Step 6: Final answer
    x = 164,621.31

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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.