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Finding the Fourth Proportional to 511,556.78, 767,124.05 and 174,624.61

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Solution

The fourth proportional to 511,556.78, 767,124.05 and 174,624.61 is: 261,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,556.78 : 767,124.05 = 174,624.61 : x
  2. Step 2: Convert to fraction form
    511,556.78/767,124.05 = 174,624.61/x
  3. Step 3: Cross multiply
    511,556.78x = 767,124.05 × 174,624.61
  4. Step 4: Simplify right side
    511,556.78x = 133,958,737,682.56
  5. Step 5: Solve for x
    x = 133,958,737,682.56/511,556.78
  6. Step 6: Final answer
    x = 261,864.85

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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.