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Finding the Fourth Proportional to 471,930.44, 651,244.05 and 257,072.27

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Solution

The fourth proportional to 471,930.44, 651,244.05 and 257,072.27 is: 354,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,930.44 : 651,244.05 = 257,072.27 : x
  2. Step 2: Convert to fraction form
    471,930.44/651,244.05 = 257,072.27/x
  3. Step 3: Cross multiply
    471,930.44x = 651,244.05 × 257,072.27
  4. Step 4: Simplify right side
    471,930.44x = 167,416,783,001.27
  5. Step 5: Solve for x
    x = 167,416,783,001.27/471,930.44
  6. Step 6: Final answer
    x = 354,748.86

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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.