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Finding the Fourth Proportional to 299,048.80, 448,573.20 and 275,429.20

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Solution

The fourth proportional to 299,048.80, 448,573.20 and 275,429.20 is: 413,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,048.80 : 448,573.20 = 275,429.20 : x
  2. Step 2: Convert to fraction form
    299,048.80/448,573.20 = 275,429.20/x
  3. Step 3: Cross multiply
    299,048.80x = 448,573.20 × 275,429.20
  4. Step 4: Simplify right side
    299,048.80x = 123,550,157,617.44
  5. Step 5: Solve for x
    x = 123,550,157,617.44/299,048.80
  6. Step 6: Final answer
    x = 413,143.80

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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.