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Finding the Fourth Proportional to 407,836.56, 562,657.44 and 300,661.44

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Solution

The fourth proportional to 407,836.56, 562,657.44 and 300,661.44 is: 414,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,836.56 : 562,657.44 = 300,661.44 : x
  2. Step 2: Convert to fraction form
    407,836.56/562,657.44 = 300,661.44/x
  3. Step 3: Cross multiply
    407,836.56x = 562,657.44 × 300,661.44
  4. Step 4: Simplify right side
    407,836.56x = 169,169,396,137.11
  5. Step 5: Solve for x
    x = 169,169,396,137.11/407,836.56
  6. Step 6: Final answer
    x = 414,797.04

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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.