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Finding the Fourth Proportional to 406,997.29, 610,488.65 and 167,059.09

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Solution

The fourth proportional to 406,997.29, 610,488.65 and 167,059.09 is: 250,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,997.29 : 610,488.65 = 167,059.09 : x
  2. Step 2: Convert to fraction form
    406,997.29/610,488.65 = 167,059.09/x
  3. Step 3: Cross multiply
    406,997.29x = 610,488.65 × 167,059.09
  4. Step 4: Simplify right side
    406,997.29x = 101,987,678,565.38
  5. Step 5: Solve for x
    x = 101,987,678,565.38/406,997.29
  6. Step 6: Final answer
    x = 250,585.64

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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.