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Finding the Fourth Proportional to 275,659.83, 413,240.09 and 191,459.75

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Solution

The fourth proportional to 275,659.83, 413,240.09 and 191,459.75 is: 287,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,659.83 : 413,240.09 = 191,459.75 : x
  2. Step 2: Convert to fraction form
    275,659.83/413,240.09 = 191,459.75/x
  3. Step 3: Cross multiply
    275,659.83x = 413,240.09 × 191,459.75
  4. Step 4: Simplify right side
    275,659.83x = 79,118,841,297.88
  5. Step 5: Solve for x
    x = 79,118,841,297.88/275,659.83
  6. Step 6: Final answer
    x = 287,016.22

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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.