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Finding the Fourth Proportional to 541,647.83, 812,209.30 and 271,659.96

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Solution

The fourth proportional to 541,647.83, 812,209.30 and 271,659.96 is: 407,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,647.83 : 812,209.30 = 271,659.96 : x
  2. Step 2: Convert to fraction form
    541,647.83/812,209.30 = 271,659.96/x
  3. Step 3: Cross multiply
    541,647.83x = 812,209.30 × 271,659.96
  4. Step 4: Simplify right side
    541,647.83x = 220,644,745,270.48
  5. Step 5: Solve for x
    x = 220,644,745,270.48/541,647.83
  6. Step 6: Final answer
    x = 407,358.31

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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.