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Finding the Fourth Proportional to 419,350.77, 628,079.81 and 194,238.34

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Solution

The fourth proportional to 419,350.77, 628,079.81 and 194,238.34 is: 290,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,350.77 : 628,079.81 = 194,238.34 : x
  2. Step 2: Convert to fraction form
    419,350.77/628,079.81 = 194,238.34/x
  3. Step 3: Cross multiply
    419,350.77x = 628,079.81 × 194,238.34
  4. Step 4: Simplify right side
    419,350.77x = 121,997,177,140.52
  5. Step 5: Solve for x
    x = 121,997,177,140.52/419,350.77
  6. Step 6: Final answer
    x = 290,919.17

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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.