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Finding the Fourth Proportional to 267,434.44, 401,148.57 and 65,031.69

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Solution

The fourth proportional to 267,434.44, 401,148.57 and 65,031.69 is: 97,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,434.44 : 401,148.57 = 65,031.69 : x
  2. Step 2: Convert to fraction form
    267,434.44/401,148.57 = 65,031.69/x
  3. Step 3: Cross multiply
    267,434.44x = 401,148.57 × 65,031.69
  4. Step 4: Simplify right side
    267,434.44x = 26,087,369,448.18
  5. Step 5: Solve for x
    x = 26,087,369,448.18/267,434.44
  6. Step 6: Final answer
    x = 97,546.78

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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.