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Finding the Fourth Proportional to 304,996.50, 420,794.34 and 184,091.88

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Solution

The fourth proportional to 304,996.50, 420,794.34 and 184,091.88 is: 253,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,996.50 : 420,794.34 = 184,091.88 : x
  2. Step 2: Convert to fraction form
    304,996.50/420,794.34 = 184,091.88/x
  3. Step 3: Cross multiply
    304,996.50x = 420,794.34 × 184,091.88
  4. Step 4: Simplify right side
    304,996.50x = 77,464,821,143.96
  5. Step 5: Solve for x
    x = 77,464,821,143.96/304,996.50
  6. Step 6: Final answer
    x = 253,985.93

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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.