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Finding the Fourth Proportional to 410,963.59, 616,446.53 and 126,644.96

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Solution

The fourth proportional to 410,963.59, 616,446.53 and 126,644.96 is: 189,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,963.59 : 616,446.53 = 126,644.96 : x
  2. Step 2: Convert to fraction form
    410,963.59/616,446.53 = 126,644.96/x
  3. Step 3: Cross multiply
    410,963.59x = 616,446.53 × 126,644.96
  4. Step 4: Simplify right side
    410,963.59x = 78,069,846,133.99
  5. Step 5: Solve for x
    x = 78,069,846,133.99/410,963.59
  6. Step 6: Final answer
    x = 189,967.79

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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.