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Finding the Fourth Proportional to 629,889.81, 869,257.34 and 343,414.68

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Solution

The fourth proportional to 629,889.81, 869,257.34 and 343,414.68 is: 473,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,889.81 : 869,257.34 = 343,414.68 : x
  2. Step 2: Convert to fraction form
    629,889.81/869,257.34 = 343,414.68/x
  3. Step 3: Cross multiply
    629,889.81x = 869,257.34 × 343,414.68
  4. Step 4: Simplify right side
    629,889.81x = 298,515,731,253.75
  5. Step 5: Solve for x
    x = 298,515,731,253.75/629,889.81
  6. Step 6: Final answer
    x = 473,917.38

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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.