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Finding the Fourth Proportional to 416,195.60, 624,054.94 and 127,932.18

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Solution

The fourth proportional to 416,195.60, 624,054.94 and 127,932.18 is: 191,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,195.60 : 624,054.94 = 127,932.18 : x
  2. Step 2: Convert to fraction form
    416,195.60/624,054.94 = 127,932.18/x
  3. Step 3: Cross multiply
    416,195.60x = 624,054.94 × 127,932.18
  4. Step 4: Simplify right side
    416,195.60x = 79,836,708,913.97
  5. Step 5: Solve for x
    x = 79,836,708,913.97/416,195.60
  6. Step 6: Final answer
    x = 191,824.97

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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.