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Finding the Fourth Proportional to 299,739, 413,651.70 and 172,414.44

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Solution

The fourth proportional to 299,739, 413,651.70 and 172,414.44 is: 237,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,739 : 413,651.70 = 172,414.44 : x
  2. Step 2: Convert to fraction form
    299,739/413,651.70 = 172,414.44/x
  3. Step 3: Cross multiply
    299,739x = 413,651.70 × 172,414.44
  4. Step 4: Simplify right side
    299,739x = 71,319,526,210.55
  5. Step 5: Solve for x
    x = 71,319,526,210.55/299,739
  6. Step 6: Final answer
    x = 237,938.76

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1.5x scale

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.