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Finding the Fourth Proportional to 406,613.76, 609,920.52 and 196,661.76

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Solution

The fourth proportional to 406,613.76, 609,920.52 and 196,661.76 is: 294,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,613.76 : 609,920.52 = 196,661.76 : x
  2. Step 2: Convert to fraction form
    406,613.76/609,920.52 = 196,661.76/x
  3. Step 3: Cross multiply
    406,613.76x = 609,920.52 × 196,661.76
  4. Step 4: Simplify right side
    406,613.76x = 119,948,042,923.32
  5. Step 5: Solve for x
    x = 119,948,042,923.32/406,613.76
  6. Step 6: Final answer
    x = 294,992.58

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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.