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Finding the Fourth Proportional to 503,103.84, 694,182.60 and 288,311.28

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Solution

The fourth proportional to 503,103.84, 694,182.60 and 288,311.28 is: 397,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,103.84 : 694,182.60 = 288,311.28 : x
  2. Step 2: Convert to fraction form
    503,103.84/694,182.60 = 288,311.28/x
  3. Step 3: Cross multiply
    503,103.84x = 694,182.60 × 288,311.28
  4. Step 4: Simplify right side
    503,103.84x = 200,140,673,959.73
  5. Step 5: Solve for x
    x = 200,140,673,959.73/503,103.84
  6. Step 6: Final answer
    x = 397,811.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.