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Finding the Fourth Proportional to 406,974.48, 609,842.04 and 206,995.20

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Solution

The fourth proportional to 406,974.48, 609,842.04 and 206,995.20 is: 310,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,974.48 : 609,842.04 = 206,995.20 : x
  2. Step 2: Convert to fraction form
    406,974.48/609,842.04 = 206,995.20/x
  3. Step 3: Cross multiply
    406,974.48x = 609,842.04 × 206,995.20
  4. Step 4: Simplify right side
    406,974.48x = 126,234,375,038.21
  5. Step 5: Solve for x
    x = 126,234,375,038.21/406,974.48
  6. Step 6: Final answer
    x = 310,177.62

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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.