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Finding the Fourth Proportional to 394,493.10, 591,448.05 and 217,200.30

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Solution

The fourth proportional to 394,493.10, 591,448.05 and 217,200.30 is: 325,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,493.10 : 591,448.05 = 217,200.30 : x
  2. Step 2: Convert to fraction form
    394,493.10/591,448.05 = 217,200.30/x
  3. Step 3: Cross multiply
    394,493.10x = 591,448.05 × 217,200.30
  4. Step 4: Simplify right side
    394,493.10x = 128,462,693,894.42
  5. Step 5: Solve for x
    x = 128,462,693,894.42/394,493.10
  6. Step 6: Final answer
    x = 325,639.90

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