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Finding the Fourth Proportional to 381,311.45, 526,219.56 and 209,236.80

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Solution

The fourth proportional to 381,311.45, 526,219.56 and 209,236.80 is: 288,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,311.45 : 526,219.56 = 209,236.80 : x
  2. Step 2: Convert to fraction form
    381,311.45/526,219.56 = 209,236.80/x
  3. Step 3: Cross multiply
    381,311.45x = 526,219.56 × 209,236.80
  4. Step 4: Simplify right side
    381,311.45x = 110,104,496,831.81
  5. Step 5: Solve for x
    x = 110,104,496,831.81/381,311.45
  6. Step 6: Final answer
    x = 288,752.14

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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.