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Finding the Fourth Proportional to 394,644.69, 591,901.11 and 141,873.66

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Solution

The fourth proportional to 394,644.69, 591,901.11 and 141,873.66 is: 212,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,644.69 : 591,901.11 = 141,873.66 : x
  2. Step 2: Convert to fraction form
    394,644.69/591,901.11 = 141,873.66/x
  3. Step 3: Cross multiply
    394,644.69x = 591,901.11 × 141,873.66
  4. Step 4: Simplify right side
    394,644.69x = 83,975,176,833.76
  5. Step 5: Solve for x
    x = 83,975,176,833.76/394,644.69
  6. Step 6: Final answer
    x = 212,786.79

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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.