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Finding the Fourth Proportional to 397,571.46, 596,354.45 and 160,910.72

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Solution

The fourth proportional to 397,571.46, 596,354.45 and 160,910.72 is: 241,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,571.46 : 596,354.45 = 160,910.72 : x
  2. Step 2: Convert to fraction form
    397,571.46/596,354.45 = 160,910.72/x
  3. Step 3: Cross multiply
    397,571.46x = 596,354.45 × 160,910.72
  4. Step 4: Simplify right side
    397,571.46x = 95,959,823,924.70
  5. Step 5: Solve for x
    x = 95,959,823,924.70/397,571.46
  6. Step 6: Final answer
    x = 241,364.97

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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.