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Finding the Fourth Proportional to 397,292.42, 595,956.98 and 131,076.20

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Solution

The fourth proportional to 397,292.42, 595,956.98 and 131,076.20 is: 196,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,292.42 : 595,956.98 = 131,076.20 : x
  2. Step 2: Convert to fraction form
    397,292.42/595,956.98 = 131,076.20/x
  3. Step 3: Cross multiply
    397,292.42x = 595,956.98 × 131,076.20
  4. Step 4: Simplify right side
    397,292.42x = 78,115,776,301.88
  5. Step 5: Solve for x
    x = 78,115,776,301.88/397,292.42
  6. Step 6: Final answer
    x = 196,620.35

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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.