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Finding the Fourth Proportional to 475,910.75, 713,789.53 and 138,872.27

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Solution

The fourth proportional to 475,910.75, 713,789.53 and 138,872.27 is: 208,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,910.75 : 713,789.53 = 138,872.27 : x
  2. Step 2: Convert to fraction form
    475,910.75/713,789.53 = 138,872.27/x
  3. Step 3: Cross multiply
    475,910.75x = 713,789.53 × 138,872.27
  4. Step 4: Simplify right side
    475,910.75x = 99,125,572,333.33
  5. Step 5: Solve for x
    x = 99,125,572,333.33/475,910.75
  6. Step 6: Final answer
    x = 208,286.05

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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.