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Finding the Fourth Proportional to 406,719, 610,167.84 and 166,834.32

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Solution

The fourth proportional to 406,719, 610,167.84 and 166,834.32 is: 250,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,719 : 610,167.84 = 166,834.32 : x
  2. Step 2: Convert to fraction form
    406,719/610,167.84 = 166,834.32/x
  3. Step 3: Cross multiply
    406,719x = 610,167.84 × 166,834.32
  4. Step 4: Simplify right side
    406,719x = 101,796,936,672.27
  5. Step 5: Solve for x
    x = 101,796,936,672.27/406,719
  6. Step 6: Final answer
    x = 250,288.13

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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.