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Finding the Fourth Proportional to 275,587.80, 413,381.70 and 196,272.60

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Solution

The fourth proportional to 275,587.80, 413,381.70 and 196,272.60 is: 294,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,587.80 : 413,381.70 = 196,272.60 : x
  2. Step 2: Convert to fraction form
    275,587.80/413,381.70 = 196,272.60/x
  3. Step 3: Cross multiply
    275,587.80x = 413,381.70 × 196,272.60
  4. Step 4: Simplify right side
    275,587.80x = 81,135,501,051.42
  5. Step 5: Solve for x
    x = 81,135,501,051.42/275,587.80
  6. Step 6: Final answer
    x = 294,408.90

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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.