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Finding the Fourth Proportional to 499,876.14, 689,794.83 and 285,025.26

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Solution

The fourth proportional to 499,876.14, 689,794.83 and 285,025.26 is: 393,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,876.14 : 689,794.83 = 285,025.26 : x
  2. Step 2: Convert to fraction form
    499,876.14/689,794.83 = 285,025.26/x
  3. Step 3: Cross multiply
    499,876.14x = 689,794.83 × 285,025.26
  4. Step 4: Simplify right side
    499,876.14x = 196,608,950,767.41
  5. Step 5: Solve for x
    x = 196,608,950,767.41/499,876.14
  6. Step 6: Final answer
    x = 393,315.33

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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.