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Finding the Fourth Proportional to 394,493.10, 591,739.65 and 364,080.30

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Solution

The fourth proportional to 394,493.10, 591,739.65 and 364,080.30 is: 546,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,493.10 : 591,739.65 = 364,080.30 : x
  2. Step 2: Convert to fraction form
    394,493.10/591,739.65 = 364,080.30/x
  3. Step 3: Cross multiply
    394,493.10x = 591,739.65 × 364,080.30
  4. Step 4: Simplify right side
    394,493.10x = 215,440,749,293.90
  5. Step 5: Solve for x
    x = 215,440,749,293.90/394,493.10
  6. Step 6: Final answer
    x = 546,120.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.