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Finding the Fourth Proportional to 299,833.82, 413,758.22 and 177,405.56

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Solution

The fourth proportional to 299,833.82, 413,758.22 and 177,405.56 is: 244,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,833.82 : 413,758.22 = 177,405.56 : x
  2. Step 2: Convert to fraction form
    299,833.82/413,758.22 = 177,405.56/x
  3. Step 3: Cross multiply
    299,833.82x = 413,758.22 × 177,405.56
  4. Step 4: Simplify right side
    299,833.82x = 73,403,005,767.88
  5. Step 5: Solve for x
    x = 73,403,005,767.88/299,833.82
  6. Step 6: Final answer
    x = 244,812.30

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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.