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Finding the Fourth Proportional to 360,408.24, 497,320.38 and 199,241.64

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Solution

The fourth proportional to 360,408.24, 497,320.38 and 199,241.64 is: 274,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,408.24 : 497,320.38 = 199,241.64 : x
  2. Step 2: Convert to fraction form
    360,408.24/497,320.38 = 199,241.64/x
  3. Step 3: Cross multiply
    360,408.24x = 497,320.38 × 199,241.64
  4. Step 4: Simplify right side
    360,408.24x = 99,086,928,116.62
  5. Step 5: Solve for x
    x = 99,086,928,116.62/360,408.24
  6. Step 6: Final answer
    x = 274,929.70

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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.