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Finding the Fourth Proportional to 397,114, 595,744.82 and 130,893.24

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Solution

The fourth proportional to 397,114, 595,744.82 and 130,893.24 is: 196,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,114 : 595,744.82 = 130,893.24 : x
  2. Step 2: Convert to fraction form
    397,114/595,744.82 = 130,893.24/x
  3. Step 3: Cross multiply
    397,114x = 595,744.82 × 130,893.24
  4. Step 4: Simplify right side
    397,114x = 77,978,969,703.02
  5. Step 5: Solve for x
    x = 77,978,969,703.02/397,114
  6. Step 6: Final answer
    x = 196,364.19

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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.