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Finding the Fourth Proportional to 406,826.85, 610,098.66 and 166,871.64

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Solution

The fourth proportional to 406,826.85, 610,098.66 and 166,871.64 is: 250,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,826.85 : 610,098.66 = 166,871.64 : x
  2. Step 2: Convert to fraction form
    406,826.85/610,098.66 = 166,871.64/x
  3. Step 3: Cross multiply
    406,826.85x = 610,098.66 × 166,871.64
  4. Step 4: Simplify right side
    406,826.85x = 101,808,163,956.00
  5. Step 5: Solve for x
    x = 101,808,163,956.00/406,826.85
  6. Step 6: Final answer
    x = 250,249.37

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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.