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Finding the Fourth Proportional to 381,577.44, 526,276.38 and 338,016.60

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Solution

The fourth proportional to 381,577.44, 526,276.38 and 338,016.60 is: 466,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,577.44 : 526,276.38 = 338,016.60 : x
  2. Step 2: Convert to fraction form
    381,577.44/526,276.38 = 338,016.60/x
  3. Step 3: Cross multiply
    381,577.44x = 526,276.38 × 338,016.60
  4. Step 4: Simplify right side
    381,577.44x = 177,890,152,627.91
  5. Step 5: Solve for x
    x = 177,890,152,627.91/381,577.44
  6. Step 6: Final answer
    x = 466,196.72

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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.