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Finding the Fourth Proportional to 397,072.72, 595,696.92 and 130,822.48

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Solution

The fourth proportional to 397,072.72, 595,696.92 and 130,822.48 is: 196,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,072.72 : 595,696.92 = 130,822.48 : x
  2. Step 2: Convert to fraction form
    397,072.72/595,696.92 = 130,822.48/x
  3. Step 3: Cross multiply
    397,072.72x = 595,696.92 × 130,822.48
  4. Step 4: Simplify right side
    397,072.72x = 77,930,548,402.76
  5. Step 5: Solve for x
    x = 77,930,548,402.76/397,072.72
  6. Step 6: Final answer
    x = 196,262.66

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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.