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Finding the Fourth Proportional to 406,243.72, 560,609.44 and 224,951.77

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Solution

The fourth proportional to 406,243.72, 560,609.44 and 224,951.77 is: 310,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,243.72 : 560,609.44 = 224,951.77 : x
  2. Step 2: Convert to fraction form
    406,243.72/560,609.44 = 224,951.77/x
  3. Step 3: Cross multiply
    406,243.72x = 560,609.44 × 224,951.77
  4. Step 4: Simplify right side
    406,243.72x = 126,110,085,806.71
  5. Step 5: Solve for x
    x = 126,110,085,806.71/406,243.72
  6. Step 6: Final answer
    x = 310,429.63

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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.