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Finding the Fourth Proportional to 267,422.42, 400,229.47 and 260,225.88

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Solution

The fourth proportional to 267,422.42, 400,229.47 and 260,225.88 is: 389,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,422.42 : 400,229.47 = 260,225.88 : x
  2. Step 2: Convert to fraction form
    267,422.42/400,229.47 = 260,225.88/x
  3. Step 3: Cross multiply
    267,422.42x = 400,229.47 × 260,225.88
  4. Step 4: Simplify right side
    267,422.42x = 104,150,064,857.11
  5. Step 5: Solve for x
    x = 104,150,064,857.11/267,422.42
  6. Step 6: Final answer
    x = 389,458.98

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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.