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Finding the Fourth Proportional to 267,437.82, 401,287.35 and 117,659.41

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Solution

The fourth proportional to 267,437.82, 401,287.35 and 117,659.41 is: 176,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,437.82 : 401,287.35 = 117,659.41 : x
  2. Step 2: Convert to fraction form
    267,437.82/401,287.35 = 117,659.41/x
  3. Step 3: Cross multiply
    267,437.82x = 401,287.35 × 117,659.41
  4. Step 4: Simplify right side
    267,437.82x = 47,215,232,841.46
  5. Step 5: Solve for x
    x = 47,215,232,841.46/267,437.82
  6. Step 6: Final answer
    x = 176,546.58

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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.