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Finding the Fourth Proportional to 541,147.02, 746,676.72 and 299,384.43

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Solution

The fourth proportional to 541,147.02, 746,676.72 and 299,384.43 is: 413,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,147.02 : 746,676.72 = 299,384.43 : x
  2. Step 2: Convert to fraction form
    541,147.02/746,676.72 = 299,384.43/x
  3. Step 3: Cross multiply
    541,147.02x = 746,676.72 × 299,384.43
  4. Step 4: Simplify right side
    541,147.02x = 223,543,384,211.47
  5. Step 5: Solve for x
    x = 223,543,384,211.47/541,147.02
  6. Step 6: Final answer
    x = 413,091.78

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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.