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Finding the Fourth Proportional to 397,857.72, 596,788.20 and 161,204.88

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Solution

The fourth proportional to 397,857.72, 596,788.20 and 161,204.88 is: 241,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,857.72 : 596,788.20 = 161,204.88 : x
  2. Step 2: Convert to fraction form
    397,857.72/596,788.20 = 161,204.88/x
  3. Step 3: Cross multiply
    397,857.72x = 596,788.20 × 161,204.88
  4. Step 4: Simplify right side
    397,857.72x = 96,205,170,166.42
  5. Step 5: Solve for x
    x = 96,205,170,166.42/397,857.72
  6. Step 6: Final answer
    x = 241,807.98

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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.