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Finding the Fourth Proportional to 397,690.34, 596,628.94 and 131,450.87

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Solution

The fourth proportional to 397,690.34, 596,628.94 and 131,450.87 is: 197,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,690.34 : 596,628.94 = 131,450.87 : x
  2. Step 2: Convert to fraction form
    397,690.34/596,628.94 = 131,450.87/x
  3. Step 3: Cross multiply
    397,690.34x = 596,628.94 × 131,450.87
  4. Step 4: Simplify right side
    397,690.34x = 78,427,391,283.56
  5. Step 5: Solve for x
    x = 78,427,391,283.56/397,690.34
  6. Step 6: Final answer
    x = 197,207.18

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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.