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Finding the Fourth Proportional to 419,738.28, 579,224.16 and 228,747.84

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Solution

The fourth proportional to 419,738.28, 579,224.16 and 228,747.84 is: 315,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,738.28 : 579,224.16 = 228,747.84 : x
  2. Step 2: Convert to fraction form
    419,738.28/579,224.16 = 228,747.84/x
  3. Step 3: Cross multiply
    419,738.28x = 579,224.16 × 228,747.84
  4. Step 4: Simplify right side
    419,738.28x = 132,496,275,475.81
  5. Step 5: Solve for x
    x = 132,496,275,475.81/419,738.28
  6. Step 6: Final answer
    x = 315,664.03

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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.