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Finding the Fourth Proportional to 541,410.42, 747,137.31 and 299,687.79

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Solution

The fourth proportional to 541,410.42, 747,137.31 and 299,687.79 is: 413,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,410.42 : 747,137.31 = 299,687.79 : x
  2. Step 2: Convert to fraction form
    541,410.42/747,137.31 = 299,687.79/x
  3. Step 3: Cross multiply
    541,410.42x = 747,137.31 × 299,687.79
  4. Step 4: Simplify right side
    541,410.42x = 223,907,929,260.45
  5. Step 5: Solve for x
    x = 223,907,929,260.45/541,410.42
  6. Step 6: Final answer
    x = 413,564.13

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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.