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Finding the Fourth Proportional to 413,231.70, 619,803.78 and 132,727.08

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Solution

The fourth proportional to 413,231.70, 619,803.78 and 132,727.08 is: 199,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,231.70 : 619,803.78 = 132,727.08 : x
  2. Step 2: Convert to fraction form
    413,231.70/619,803.78 = 132,727.08/x
  3. Step 3: Cross multiply
    413,231.70x = 619,803.78 × 132,727.08
  4. Step 4: Simplify right side
    413,231.70x = 82,264,745,892.36
  5. Step 5: Solve for x
    x = 82,264,745,892.36/413,231.70
  6. Step 6: Final answer
    x = 199,076.56

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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.