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Finding the Fourth Proportional to 419,838.88, 579,366.12 and 228,856

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Solution

The fourth proportional to 419,838.88, 579,366.12 and 228,856 is: 315,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,838.88 : 579,366.12 = 228,856 : x
  2. Step 2: Convert to fraction form
    419,838.88/579,366.12 = 228,856/x
  3. Step 3: Cross multiply
    419,838.88x = 579,366.12 × 228,856
  4. Step 4: Simplify right side
    419,838.88x = 132,591,412,758.72
  5. Step 5: Solve for x
    x = 132,591,412,758.72/419,838.88
  6. Step 6: Final answer
    x = 315,814.99

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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.