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Finding the Fourth Proportional to 397,856.72, 596,786.70 and 161,203.88

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Solution

The fourth proportional to 397,856.72, 596,786.70 and 161,203.88 is: 241,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,856.72 : 596,786.70 = 161,203.88 : x
  2. Step 2: Convert to fraction form
    397,856.72/596,786.70 = 161,203.88/x
  3. Step 3: Cross multiply
    397,856.72x = 596,786.70 × 161,203.88
  4. Step 4: Simplify right side
    397,856.72x = 96,204,331,572.40
  5. Step 5: Solve for x
    x = 96,204,331,572.40/397,856.72
  6. Step 6: Final answer
    x = 241,806.48

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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.