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Finding the Fourth Proportional to 352,761.84, 486,786.24 and 199,815.48

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Solution

The fourth proportional to 352,761.84, 486,786.24 and 199,815.48 is: 275,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,761.84 : 486,786.24 = 199,815.48 : x
  2. Step 2: Convert to fraction form
    352,761.84/486,786.24 = 199,815.48/x
  3. Step 3: Cross multiply
    352,761.84x = 486,786.24 × 199,815.48
  4. Step 4: Simplify right side
    352,761.84x = 97,267,426,203.00
  5. Step 5: Solve for x
    x = 97,267,426,203.00/352,761.84
  6. Step 6: Final answer
    x = 275,731.15

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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.