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Finding the Fourth Proportional to 419,619.12, 579,081.02 and 228,632.44

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Solution

The fourth proportional to 419,619.12, 579,081.02 and 228,632.44 is: 315,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,619.12 : 579,081.02 = 228,632.44 : x
  2. Step 2: Convert to fraction form
    419,619.12/579,081.02 = 228,632.44/x
  3. Step 3: Cross multiply
    419,619.12x = 579,081.02 × 228,632.44
  4. Step 4: Simplify right side
    419,619.12x = 132,396,706,560.29
  5. Step 5: Solve for x
    x = 132,396,706,560.29/419,619.12
  6. Step 6: Final answer
    x = 315,516.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.