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Finding the Fourth Proportional to 299,633.22, 413,582.49 and 172,398.42

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Solution

The fourth proportional to 299,633.22, 413,582.49 and 172,398.42 is: 237,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,633.22 : 413,582.49 = 172,398.42 : x
  2. Step 2: Convert to fraction form
    299,633.22/413,582.49 = 172,398.42/x
  3. Step 3: Cross multiply
    299,633.22x = 413,582.49 × 172,398.42
  4. Step 4: Simplify right side
    299,633.22x = 71,300,967,815.67
  5. Step 5: Solve for x
    x = 71,300,967,815.67/299,633.22
  6. Step 6: Final answer
    x = 237,960.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.