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Finding the Fourth Proportional to 275,451, 413,351.28 and 117,680.64

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Solution

The fourth proportional to 275,451, 413,351.28 and 117,680.64 is: 176,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,451 : 413,351.28 = 117,680.64 : x
  2. Step 2: Convert to fraction form
    275,451/413,351.28 = 117,680.64/x
  3. Step 3: Cross multiply
    275,451x = 413,351.28 × 117,680.64
  4. Step 4: Simplify right side
    275,451x = 48,643,443,175.22
  5. Step 5: Solve for x
    x = 48,643,443,175.22/275,451
  6. Step 6: Final answer
    x = 176,595.63

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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.