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Finding the Fourth Proportional to 442,670.25, 664,007.81 and 110,246.25

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Solution

The fourth proportional to 442,670.25, 664,007.81 and 110,246.25 is: 165,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,670.25 : 664,007.81 = 110,246.25 : x
  2. Step 2: Convert to fraction form
    442,670.25/664,007.81 = 110,246.25/x
  3. Step 3: Cross multiply
    442,670.25x = 664,007.81 × 110,246.25
  4. Step 4: Simplify right side
    442,670.25x = 73,204,370,471.98
  5. Step 5: Solve for x
    x = 73,204,370,471.98/442,670.25
  6. Step 6: Final answer
    x = 165,369.98

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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.