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Finding the Fourth Proportional to 508,514.97, 701,704.27 and 301,747.73

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Solution

The fourth proportional to 508,514.97, 701,704.27 and 301,747.73 is: 416,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,514.97 : 701,704.27 = 301,747.73 : x
  2. Step 2: Convert to fraction form
    508,514.97/701,704.27 = 301,747.73/x
  3. Step 3: Cross multiply
    508,514.97x = 701,704.27 × 301,747.73
  4. Step 4: Simplify right side
    508,514.97x = 211,737,670,603.81
  5. Step 5: Solve for x
    x = 211,737,670,603.81/508,514.97
  6. Step 6: Final answer
    x = 416,384.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.