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Finding the Fourth Proportional to 541,156.56, 746,796.92 and 299,449.32

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Solution

The fourth proportional to 541,156.56, 746,796.92 and 299,449.32 is: 413,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,156.56 : 746,796.92 = 299,449.32 : x
  2. Step 2: Convert to fraction form
    541,156.56/746,796.92 = 299,449.32/x
  3. Step 3: Cross multiply
    541,156.56x = 746,796.92 × 299,449.32
  4. Step 4: Simplify right side
    541,156.56x = 223,627,829,872.09
  5. Step 5: Solve for x
    x = 223,627,829,872.09/541,156.56
  6. Step 6: Final answer
    x = 413,240.54

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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.