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Finding the Fourth Proportional to 304,906.60, 457,878.30 and 226,109.80

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Solution

The fourth proportional to 304,906.60, 457,878.30 and 226,109.80 is: 339,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,906.60 : 457,878.30 = 226,109.80 : x
  2. Step 2: Convert to fraction form
    304,906.60/457,878.30 = 226,109.80/x
  3. Step 3: Cross multiply
    304,906.60x = 457,878.30 × 226,109.80
  4. Step 4: Simplify right side
    304,906.60x = 103,530,770,837.34
  5. Step 5: Solve for x
    x = 103,530,770,837.34/304,906.60
  6. Step 6: Final answer
    x = 339,549.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.