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Finding the Fourth Proportional to 381,380.42, 526,246.53 and 228,382.78

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Solution

The fourth proportional to 381,380.42, 526,246.53 and 228,382.78 is: 315,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,380.42 : 526,246.53 = 228,382.78 : x
  2. Step 2: Convert to fraction form
    381,380.42/526,246.53 = 228,382.78/x
  3. Step 3: Cross multiply
    381,380.42x = 526,246.53 × 228,382.78
  4. Step 4: Simplify right side
    381,380.42x = 120,185,645,486.75
  5. Step 5: Solve for x
    x = 120,185,645,486.75/381,380.42
  6. Step 6: Final answer
    x = 315,133.23

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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.