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Finding the Fourth Proportional to 304,052, 419,591.66 and 169,916

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Solution

The fourth proportional to 304,052, 419,591.66 and 169,916 is: 234,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,052 : 419,591.66 = 169,916 : x
  2. Step 2: Convert to fraction form
    304,052/419,591.66 = 169,916/x
  3. Step 3: Cross multiply
    304,052x = 419,591.66 × 169,916
  4. Step 4: Simplify right side
    304,052x = 71,295,336,500.56
  5. Step 5: Solve for x
    x = 71,295,336,500.56/304,052
  6. Step 6: Final answer
    x = 234,484.02

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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.