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Finding the Fourth Proportional to 417,914.46, 626,915.43 and 137,453.58

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Solution

The fourth proportional to 417,914.46, 626,915.43 and 137,453.58 is: 206,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,914.46 : 626,915.43 = 137,453.58 : x
  2. Step 2: Convert to fraction form
    417,914.46/626,915.43 = 137,453.58/x
  3. Step 3: Cross multiply
    417,914.46x = 626,915.43 × 137,453.58
  4. Step 4: Simplify right side
    417,914.46x = 86,171,770,210.74
  5. Step 5: Solve for x
    x = 86,171,770,210.74/417,914.46
  6. Step 6: Final answer
    x = 206,194.76

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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.