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Finding the Fourth Proportional to 403,011.60, 603,826.20 and 192,195.60

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Solution

The fourth proportional to 403,011.60, 603,826.20 and 192,195.60 is: 287,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,011.60 : 603,826.20 = 192,195.60 : x
  2. Step 2: Convert to fraction form
    403,011.60/603,826.20 = 192,195.60/x
  3. Step 3: Cross multiply
    403,011.60x = 603,826.20 × 192,195.60
  4. Step 4: Simplify right side
    403,011.60x = 116,052,738,804.72
  5. Step 5: Solve for x
    x = 116,052,738,804.72/403,011.60
  6. Step 6: Final answer
    x = 287,963.77

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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.