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Finding the Fourth Proportional to 304,056.92, 419,595.68 and 168,094.36

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Solution

The fourth proportional to 304,056.92, 419,595.68 and 168,094.36 is: 231,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,056.92 : 419,595.68 = 168,094.36 : x
  2. Step 2: Convert to fraction form
    304,056.92/419,595.68 = 168,094.36/x
  3. Step 3: Cross multiply
    304,056.92x = 419,595.68 × 168,094.36
  4. Step 4: Simplify right side
    304,056.92x = 70,531,667,288.36
  5. Step 5: Solve for x
    x = 70,531,667,288.36/304,056.92
  6. Step 6: Final answer
    x = 231,968.63

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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.