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Finding the Fourth Proportional to 400,273.40, 600,358.26 and 150,923

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Solution

The fourth proportional to 400,273.40, 600,358.26 and 150,923 is: 226,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,273.40 : 600,358.26 = 150,923 : x
  2. Step 2: Convert to fraction form
    400,273.40/600,358.26 = 150,923/x
  3. Step 3: Cross multiply
    400,273.40x = 600,358.26 × 150,923
  4. Step 4: Simplify right side
    400,273.40x = 90,607,869,673.98
  5. Step 5: Solve for x
    x = 90,607,869,673.98/400,273.40
  6. Step 6: Final answer
    x = 226,364.95

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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.