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Finding the Fourth Proportional to 416,449.30, 624,930.92 and 163,685.38

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Solution

The fourth proportional to 416,449.30, 624,930.92 and 163,685.38 is: 245,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,449.30 : 624,930.92 = 163,685.38 : x
  2. Step 2: Convert to fraction form
    416,449.30/624,930.92 = 163,685.38/x
  3. Step 3: Cross multiply
    416,449.30x = 624,930.92 × 163,685.38
  4. Step 4: Simplify right side
    416,449.30x = 102,292,055,113.95
  5. Step 5: Solve for x
    x = 102,292,055,113.95/416,449.30
  6. Step 6: Final answer
    x = 245,629.07

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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.