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Finding the Fourth Proportional to 419,986.62, 579,584.16 and 229,003.20

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Solution

The fourth proportional to 419,986.62, 579,584.16 and 229,003.20 is: 316,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,986.62 : 579,584.16 = 229,003.20 : x
  2. Step 2: Convert to fraction form
    419,986.62/579,584.16 = 229,003.20/x
  3. Step 3: Cross multiply
    419,986.62x = 579,584.16 × 229,003.20
  4. Step 4: Simplify right side
    419,986.62x = 132,726,627,309.31
  5. Step 5: Solve for x
    x = 132,726,627,309.31/419,986.62
  6. Step 6: Final answer
    x = 316,025.85

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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.