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Finding the Fourth Proportional to 812,270.16, 1,219,523.34 and 413,181

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Solution

The fourth proportional to 812,270.16, 1,219,523.34 and 413,181 is: 620,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,270.16 : 1,219,523.34 = 413,181 : x
  2. Step 2: Convert to fraction form
    812,270.16/1,219,523.34 = 413,181/x
  3. Step 3: Cross multiply
    812,270.16x = 1,219,523.34 × 413,181
  4. Step 4: Simplify right side
    812,270.16x = 503,883,873,144.54
  5. Step 5: Solve for x
    x = 503,883,873,144.54/812,270.16
  6. Step 6: Final answer
    x = 620,340.25

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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.