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Finding the Fourth Proportional to 267,468.80, 401,203.20 and 214,980.80

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Solution

The fourth proportional to 267,468.80, 401,203.20 and 214,980.80 is: 322,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,468.80 : 401,203.20 = 214,980.80 : x
  2. Step 2: Convert to fraction form
    267,468.80/401,203.20 = 214,980.80/x
  3. Step 3: Cross multiply
    267,468.80x = 401,203.20 × 214,980.80
  4. Step 4: Simplify right side
    267,468.80x = 86,250,984,898.56
  5. Step 5: Solve for x
    x = 86,250,984,898.56/267,468.80
  6. Step 6: Final answer
    x = 322,471.20

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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.