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Finding the Fourth Proportional to 406,491.90, 560,951.19 and 225,199.85

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Solution

The fourth proportional to 406,491.90, 560,951.19 and 225,199.85 is: 310,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,491.90 : 560,951.19 = 225,199.85 : x
  2. Step 2: Convert to fraction form
    406,491.90/560,951.19 = 225,199.85/x
  3. Step 3: Cross multiply
    406,491.90x = 560,951.19 × 225,199.85
  4. Step 4: Simplify right side
    406,491.90x = 126,326,126,092.20
  5. Step 5: Solve for x
    x = 126,326,126,092.20/406,491.90
  6. Step 6: Final answer
    x = 310,771.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.