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Finding the Fourth Proportional to 416,446.19, 624,919.19 and 179,788.64

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Solution

The fourth proportional to 416,446.19, 624,919.19 and 179,788.64 is: 269,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,446.19 : 624,919.19 = 179,788.64 : x
  2. Step 2: Convert to fraction form
    416,446.19/624,919.19 = 179,788.64/x
  3. Step 3: Cross multiply
    416,446.19x = 624,919.19 × 179,788.64
  4. Step 4: Simplify right side
    416,446.19x = 112,353,371,280.00
  5. Step 5: Solve for x
    x = 112,353,371,280.00/416,446.19
  6. Step 6: Final answer
    x = 269,790.85

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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.