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Finding the Fourth Proportional to 397,682.58, 596,397.50 and 131,393.46

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Solution

The fourth proportional to 397,682.58, 596,397.50 and 131,393.46 is: 197,048.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,682.58 : 596,397.50 = 131,393.46 : x
  2. Step 2: Convert to fraction form
    397,682.58/596,397.50 = 131,393.46/x
  3. Step 3: Cross multiply
    397,682.58x = 596,397.50 × 131,393.46
  4. Step 4: Simplify right side
    397,682.58x = 78,362,731,060.35
  5. Step 5: Solve for x
    x = 78,362,731,060.35/397,682.58
  6. Step 6: Final answer
    x = 197,048.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.