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Finding the Fourth Proportional to 494,870.85, 741,814.20 and 228,166.20

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Solution

The fourth proportional to 494,870.85, 741,814.20 and 228,166.20 is: 342,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,870.85 : 741,814.20 = 228,166.20 : x
  2. Step 2: Convert to fraction form
    494,870.85/741,814.20 = 228,166.20/x
  3. Step 3: Cross multiply
    494,870.85x = 741,814.20 × 228,166.20
  4. Step 4: Simplify right side
    494,870.85x = 169,256,927,120.04
  5. Step 5: Solve for x
    x = 169,256,927,120.04/494,870.85
  6. Step 6: Final answer
    x = 342,022.42

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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.