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Finding the Fourth Proportional to 378,586.94, 522,450.42 and 217,473.20

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Solution

The fourth proportional to 378,586.94, 522,450.42 and 217,473.20 is: 300,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,586.94 : 522,450.42 = 217,473.20 : x
  2. Step 2: Convert to fraction form
    378,586.94/522,450.42 = 217,473.20/x
  3. Step 3: Cross multiply
    378,586.94x = 522,450.42 × 217,473.20
  4. Step 4: Simplify right side
    378,586.94x = 113,618,964,678.74
  5. Step 5: Solve for x
    x = 113,618,964,678.74/378,586.94
  6. Step 6: Final answer
    x = 300,113.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.