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Finding the Fourth Proportional to 503,197.92, 694,403.28 and 276,847.20

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Solution

The fourth proportional to 503,197.92, 694,403.28 and 276,847.20 is: 382,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,197.92 : 694,403.28 = 276,847.20 : x
  2. Step 2: Convert to fraction form
    503,197.92/694,403.28 = 276,847.20/x
  3. Step 3: Cross multiply
    503,197.92x = 694,403.28 × 276,847.20
  4. Step 4: Simplify right side
    503,197.92x = 192,243,603,738.82
  5. Step 5: Solve for x
    x = 192,243,603,738.82/503,197.92
  6. Step 6: Final answer
    x = 382,043.72

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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.