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Finding the Fourth Proportional to 400,272.40, 600,356.76 and 150,922

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Solution

The fourth proportional to 400,272.40, 600,356.76 and 150,922 is: 226,363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,272.40 : 600,356.76 = 150,922 : x
  2. Step 2: Convert to fraction form
    400,272.40/600,356.76 = 150,922/x
  3. Step 3: Cross multiply
    400,272.40x = 600,356.76 × 150,922
  4. Step 4: Simplify right side
    400,272.40x = 90,607,042,932.72
  5. Step 5: Solve for x
    x = 90,607,042,932.72/400,272.40
  6. Step 6: Final answer
    x = 226,363.45

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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.