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Finding the Fourth Proportional to 267,643.20, 401,464.80 and 204,657.60

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Solution

The fourth proportional to 267,643.20, 401,464.80 and 204,657.60 is: 306,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,643.20 : 401,464.80 = 204,657.60 : x
  2. Step 2: Convert to fraction form
    267,643.20/401,464.80 = 204,657.60/x
  3. Step 3: Cross multiply
    267,643.20x = 401,464.80 × 204,657.60
  4. Step 4: Simplify right side
    267,643.20x = 82,162,822,452.48
  5. Step 5: Solve for x
    x = 82,162,822,452.48/267,643.20
  6. Step 6: Final answer
    x = 306,986.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.