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Finding the Fourth Proportional to 275,429.80, 413,097.21 and 73,027.34

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Solution

The fourth proportional to 275,429.80, 413,097.21 and 73,027.34 is: 109,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,429.80 : 413,097.21 = 73,027.34 : x
  2. Step 2: Convert to fraction form
    275,429.80/413,097.21 = 73,027.34/x
  3. Step 3: Cross multiply
    275,429.80x = 413,097.21 × 73,027.34
  4. Step 4: Simplify right side
    275,429.80x = 30,167,390,407.72
  5. Step 5: Solve for x
    x = 30,167,390,407.72/275,429.80
  6. Step 6: Final answer
    x = 109,528.42

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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.