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Finding the Fourth Proportional to 416,424.30, 624,636.45 and 179,601.90

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Solution

The fourth proportional to 416,424.30, 624,636.45 and 179,601.90 is: 269,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,424.30 : 624,636.45 = 179,601.90 : x
  2. Step 2: Convert to fraction form
    416,424.30/624,636.45 = 179,601.90/x
  3. Step 3: Cross multiply
    416,424.30x = 624,636.45 × 179,601.90
  4. Step 4: Simplify right side
    416,424.30x = 112,185,893,229.26
  5. Step 5: Solve for x
    x = 112,185,893,229.26/416,424.30
  6. Step 6: Final answer
    x = 269,402.85

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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.