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Finding the Fourth Proportional to 304,213.32, 419,811.87 and 168,252.96

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Solution

The fourth proportional to 304,213.32, 419,811.87 and 168,252.96 is: 232,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,213.32 : 419,811.87 = 168,252.96 : x
  2. Step 2: Convert to fraction form
    304,213.32/419,811.87 = 168,252.96/x
  3. Step 3: Cross multiply
    304,213.32x = 419,811.87 × 168,252.96
  4. Step 4: Simplify right side
    304,213.32x = 70,634,589,770.64
  5. Step 5: Solve for x
    x = 70,634,589,770.64/304,213.32
  6. Step 6: Final answer
    x = 232,187.70

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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.