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Finding the Fourth Proportional to 406,828.35, 610,100.91 and 166,873.14

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Solution

The fourth proportional to 406,828.35, 610,100.91 and 166,873.14 is: 250,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,828.35 : 610,100.91 = 166,873.14 : x
  2. Step 2: Convert to fraction form
    406,828.35/610,100.91 = 166,873.14/x
  3. Step 3: Cross multiply
    406,828.35x = 610,100.91 × 166,873.14
  4. Step 4: Simplify right side
    406,828.35x = 101,809,454,568.56
  5. Step 5: Solve for x
    x = 101,809,454,568.56/406,828.35
  6. Step 6: Final answer
    x = 250,251.62

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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.