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Finding the Fourth Proportional to 407,202.94, 610,843.29 and 126,644.86

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Solution

The fourth proportional to 407,202.94, 610,843.29 and 126,644.86 is: 189,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,202.94 : 610,843.29 = 126,644.86 : x
  2. Step 2: Convert to fraction form
    407,202.94/610,843.29 = 126,644.86/x
  3. Step 3: Cross multiply
    407,202.94x = 610,843.29 × 126,644.86
  4. Step 4: Simplify right side
    407,202.94x = 77,360,162,943.99
  5. Step 5: Solve for x
    x = 77,360,162,943.99/407,202.94
  6. Step 6: Final answer
    x = 189,979.38

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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.