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Finding the Fourth Proportional to 275,476, 413,175.20 and 88,463.20

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Solution

The fourth proportional to 275,476, 413,175.20 and 88,463.20 is: 132,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,476 : 413,175.20 = 88,463.20 : x
  2. Step 2: Convert to fraction form
    275,476/413,175.20 = 88,463.20/x
  3. Step 3: Cross multiply
    275,476x = 413,175.20 × 88,463.20
  4. Step 4: Simplify right side
    275,476x = 36,550,800,352.64
  5. Step 5: Solve for x
    x = 36,550,800,352.64/275,476
  6. Step 6: Final answer
    x = 132,682.34

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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.