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Finding the Fourth Proportional to 360,910.16, 498,043.30 and 199,765.52

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Solution

The fourth proportional to 360,910.16, 498,043.30 and 199,765.52 is: 275,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,910.16 : 498,043.30 = 199,765.52 : x
  2. Step 2: Convert to fraction form
    360,910.16/498,043.30 = 199,765.52/x
  3. Step 3: Cross multiply
    360,910.16x = 498,043.30 × 199,765.52
  4. Step 4: Simplify right side
    360,910.16x = 99,491,878,807.02
  5. Step 5: Solve for x
    x = 99,491,878,807.02/360,910.16
  6. Step 6: Final answer
    x = 275,669.38

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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.