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Finding the Fourth Proportional to 541,393.78, 747,057.56 and 299,661.64

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Solution

The fourth proportional to 541,393.78, 747,057.56 and 299,661.64 is: 413,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,393.78 : 747,057.56 = 299,661.64 : x
  2. Step 2: Convert to fraction form
    541,393.78/747,057.56 = 299,661.64/x
  3. Step 3: Cross multiply
    541,393.78x = 747,057.56 × 299,661.64
  4. Step 4: Simplify right side
    541,393.78x = 223,864,493,604.00
  5. Step 5: Solve for x
    x = 223,864,493,604.00/541,393.78
  6. Step 6: Final answer
    x = 413,496.61

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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.