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Finding the Fourth Proportional to 409,896.80, 614,456.40 and 367,906.40

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Solution

The fourth proportional to 409,896.80, 614,456.40 and 367,906.40 is: 551,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,896.80 : 614,456.40 = 367,906.40 : x
  2. Step 2: Convert to fraction form
    409,896.80/614,456.40 = 367,906.40/x
  3. Step 3: Cross multiply
    409,896.80x = 614,456.40 × 367,906.40
  4. Step 4: Simplify right side
    409,896.80x = 226,062,442,080.96
  5. Step 5: Solve for x
    x = 226,062,442,080.96/409,896.80
  6. Step 6: Final answer
    x = 551,510.63

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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.