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Finding the Fourth Proportional to 411,031.44, 616,588.20 and 111,516.96

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Solution

The fourth proportional to 411,031.44, 616,588.20 and 111,516.96 is: 167,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,031.44 : 616,588.20 = 111,516.96 : x
  2. Step 2: Convert to fraction form
    411,031.44/616,588.20 = 111,516.96/x
  3. Step 3: Cross multiply
    411,031.44x = 616,588.20 × 111,516.96
  4. Step 4: Simplify right side
    411,031.44x = 68,760,041,635.87
  5. Step 5: Solve for x
    x = 68,760,041,635.87/411,031.44
  6. Step 6: Final answer
    x = 167,286.57

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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.