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Finding the Fourth Proportional to 408,998.39, 613,753.34 and 156,300.46

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Solution

The fourth proportional to 408,998.39, 613,753.34 and 156,300.46 is: 234,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,998.39 : 613,753.34 = 156,300.46 : x
  2. Step 2: Convert to fraction form
    408,998.39/613,753.34 = 156,300.46/x
  3. Step 3: Cross multiply
    408,998.39x = 613,753.34 × 156,300.46
  4. Step 4: Simplify right side
    408,998.39x = 95,929,927,052.65
  5. Step 5: Solve for x
    x = 95,929,927,052.65/408,998.39
  6. Step 6: Final answer
    x = 234,548.43

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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.