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Finding the Fourth Proportional to 299,354.97, 448,794 and 172,851.60

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Solution

The fourth proportional to 299,354.97, 448,794 and 172,851.60 is: 259,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,354.97 : 448,794 = 172,851.60 : x
  2. Step 2: Convert to fraction form
    299,354.97/448,794 = 172,851.60/x
  3. Step 3: Cross multiply
    299,354.97x = 448,794 × 172,851.60
  4. Step 4: Simplify right side
    299,354.97x = 77,574,760,970.40
  5. Step 5: Solve for x
    x = 77,574,760,970.40/299,354.97
  6. Step 6: Final answer
    x = 259,139.71

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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.