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Finding the Fourth Proportional to 419,404.79, 578,785.20 and 228,418.03

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Solution

The fourth proportional to 419,404.79, 578,785.20 and 228,418.03 is: 315,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,404.79 : 578,785.20 = 228,418.03 : x
  2. Step 2: Convert to fraction form
    419,404.79/578,785.20 = 228,418.03/x
  3. Step 3: Cross multiply
    419,404.79x = 578,785.20 × 228,418.03
  4. Step 4: Simplify right side
    419,404.79x = 132,204,975,177.16
  5. Step 5: Solve for x
    x = 132,204,975,177.16/419,404.79
  6. Step 6: Final answer
    x = 315,220.47

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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.