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Finding the Fourth Proportional to 299,921.52, 413,879.13 and 177,493.26

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Solution

The fourth proportional to 299,921.52, 413,879.13 and 177,493.26 is: 244,933.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,921.52 : 413,879.13 = 177,493.26 : x
  2. Step 2: Convert to fraction form
    299,921.52/413,879.13 = 177,493.26/x
  3. Step 3: Cross multiply
    299,921.52x = 413,879.13 × 177,493.26
  4. Step 4: Simplify right side
    299,921.52x = 73,460,756,029.66
  5. Step 5: Solve for x
    x = 73,460,756,029.66/299,921.52
  6. Step 6: Final answer
    x = 244,933.26

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1.5x scale

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.