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Finding the Fourth Proportional to 287,597.80, 431,396.70 and 267,914.80

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Solution

The fourth proportional to 287,597.80, 431,396.70 and 267,914.80 is: 401,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,597.80 : 431,396.70 = 267,914.80 : x
  2. Step 2: Convert to fraction form
    287,597.80/431,396.70 = 267,914.80/x
  3. Step 3: Cross multiply
    287,597.80x = 431,396.70 × 267,914.80
  4. Step 4: Simplify right side
    287,597.80x = 115,577,560,601.16
  5. Step 5: Solve for x
    x = 115,577,560,601.16/287,597.80
  6. Step 6: Final answer
    x = 401,872.20

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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.