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Finding the Fourth Proportional to 416,280.80, 624,236.52 and 191,586.80

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Solution

The fourth proportional to 416,280.80, 624,236.52 and 191,586.80 is: 287,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,280.80 : 624,236.52 = 191,586.80 : x
  2. Step 2: Convert to fraction form
    416,280.80/624,236.52 = 191,586.80/x
  3. Step 3: Cross multiply
    416,280.80x = 624,236.52 × 191,586.80
  4. Step 4: Simplify right side
    416,280.80x = 119,595,477,309.94
  5. Step 5: Solve for x
    x = 119,595,477,309.94/416,280.80
  6. Step 6: Final answer
    x = 287,295.20

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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.