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Finding the Fourth Proportional to 400,690.40, 601,375.80 and 164,202.80

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Solution

The fourth proportional to 400,690.40, 601,375.80 and 164,202.80 is: 246,443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,690.40 : 601,375.80 = 164,202.80 : x
  2. Step 2: Convert to fraction form
    400,690.40/601,375.80 = 164,202.80/x
  3. Step 3: Cross multiply
    400,690.40x = 601,375.80 × 164,202.80
  4. Step 4: Simplify right side
    400,690.40x = 98,747,590,212.24
  5. Step 5: Solve for x
    x = 98,747,590,212.24/400,690.40
  6. Step 6: Final answer
    x = 246,443.61

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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.