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Finding the Fourth Proportional to 419,415.40, 628,680.03 and 301,022.56

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Solution

The fourth proportional to 419,415.40, 628,680.03 and 301,022.56 is: 451,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,415.40 : 628,680.03 = 301,022.56 : x
  2. Step 2: Convert to fraction form
    419,415.40/628,680.03 = 301,022.56/x
  3. Step 3: Cross multiply
    419,415.40x = 628,680.03 × 301,022.56
  4. Step 4: Simplify right side
    419,415.40x = 189,246,872,051.48
  5. Step 5: Solve for x
    x = 189,246,872,051.48/419,415.40
  6. Step 6: Final answer
    x = 451,215.84

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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.