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Finding the Fourth Proportional to 309,638.80, 464,458.20 and 270,272.80

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Solution

The fourth proportional to 309,638.80, 464,458.20 and 270,272.80 is: 405,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,638.80 : 464,458.20 = 270,272.80 : x
  2. Step 2: Convert to fraction form
    309,638.80/464,458.20 = 270,272.80/x
  3. Step 3: Cross multiply
    309,638.80x = 464,458.20 × 270,272.80
  4. Step 4: Simplify right side
    309,638.80x = 125,530,418,196.96
  5. Step 5: Solve for x
    x = 125,530,418,196.96/309,638.80
  6. Step 6: Final answer
    x = 405,409.20

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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.