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Finding the Fourth Proportional to 407,082.98, 561,841.79 and 225,853.27

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Solution

The fourth proportional to 407,082.98, 561,841.79 and 225,853.27 is: 311,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,082.98 : 561,841.79 = 225,853.27 : x
  2. Step 2: Convert to fraction form
    407,082.98/561,841.79 = 225,853.27/x
  3. Step 3: Cross multiply
    407,082.98x = 561,841.79 × 225,853.27
  4. Step 4: Simplify right side
    407,082.98x = 126,893,802,960.28
  5. Step 5: Solve for x
    x = 126,893,802,960.28/407,082.98
  6. Step 6: Final answer
    x = 311,714.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.