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Finding the Fourth Proportional to 275,361.82, 413,086.46 and 117,591.64

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Solution

The fourth proportional to 275,361.82, 413,086.46 and 117,591.64 is: 176,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,361.82 : 413,086.46 = 117,591.64 : x
  2. Step 2: Convert to fraction form
    275,361.82/413,086.46 = 117,591.64/x
  3. Step 3: Cross multiply
    275,361.82x = 413,086.46 × 117,591.64
  4. Step 4: Simplify right side
    275,361.82x = 48,575,514,293.19
  5. Step 5: Solve for x
    x = 48,575,514,293.19/275,361.82
  6. Step 6: Final answer
    x = 176,406.13

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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.