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Finding the Fourth Proportional to 299,506.23, 448,542.77 and 172,883.03

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Solution

The fourth proportional to 299,506.23, 448,542.77 and 172,883.03 is: 258,910.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,506.23 : 448,542.77 = 172,883.03 : x
  2. Step 2: Convert to fraction form
    299,506.23/448,542.77 = 172,883.03/x
  3. Step 3: Cross multiply
    299,506.23x = 448,542.77 × 172,883.03
  4. Step 4: Simplify right side
    299,506.23x = 77,545,433,839.64
  5. Step 5: Solve for x
    x = 77,545,433,839.64/299,506.23
  6. Step 6: Final answer
    x = 258,910.92

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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.