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Finding the Fourth Proportional to 277,031.29, 415,486.59 and 74,622.42

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Solution

The fourth proportional to 277,031.29, 415,486.59 and 74,622.42 is: 111,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,031.29 : 415,486.59 = 74,622.42 : x
  2. Step 2: Convert to fraction form
    277,031.29/415,486.59 = 74,622.42/x
  3. Step 3: Cross multiply
    277,031.29x = 415,486.59 × 74,622.42
  4. Step 4: Simplify right side
    277,031.29x = 31,004,612,745.91
  5. Step 5: Solve for x
    x = 31,004,612,745.91/277,031.29
  6. Step 6: Final answer
    x = 111,917.37

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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.