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Finding the Fourth Proportional to 267,423.82, 401,265.47 and 117,644.64

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Solution

The fourth proportional to 267,423.82, 401,265.47 and 117,644.64 is: 176,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,423.82 : 401,265.47 = 117,644.64 : x
  2. Step 2: Convert to fraction form
    267,423.82/401,265.47 = 117,644.64/x
  3. Step 3: Cross multiply
    267,423.82x = 401,265.47 × 117,644.64
  4. Step 4: Simplify right side
    267,423.82x = 47,206,731,762.58
  5. Step 5: Solve for x
    x = 47,206,731,762.58/267,423.82
  6. Step 6: Final answer
    x = 176,524.04

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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.