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Finding the Fourth Proportional to 299,644.98, 413,593.47 and 172,361.58

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Solution

The fourth proportional to 299,644.98, 413,593.47 and 172,361.58 is: 237,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,644.98 : 413,593.47 = 172,361.58 : x
  2. Step 2: Convert to fraction form
    299,644.98/413,593.47 = 172,361.58/x
  3. Step 3: Cross multiply
    299,644.98x = 413,593.47 × 172,361.58
  4. Step 4: Simplify right side
    299,644.98x = 71,287,623,966.88
  5. Step 5: Solve for x
    x = 71,287,623,966.88/299,644.98
  6. Step 6: Final answer
    x = 237,906.95

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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.