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Finding the Fourth Proportional to 275,721.70, 413,582.55 and 181,243.30

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Solution

The fourth proportional to 275,721.70, 413,582.55 and 181,243.30 is: 271,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,721.70 : 413,582.55 = 181,243.30 : x
  2. Step 2: Convert to fraction form
    275,721.70/413,582.55 = 181,243.30/x
  3. Step 3: Cross multiply
    275,721.70x = 413,582.55 × 181,243.30
  4. Step 4: Simplify right side
    275,721.70x = 74,959,066,184.42
  5. Step 5: Solve for x
    x = 74,959,066,184.42/275,721.70
  6. Step 6: Final answer
    x = 271,864.95

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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.