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Finding the Fourth Proportional to 397,795.72, 596,695.21 and 161,142.88

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Solution

The fourth proportional to 397,795.72, 596,695.21 and 161,142.88 is: 241,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,795.72 : 596,695.21 = 161,142.88 : x
  2. Step 2: Convert to fraction form
    397,795.72/596,695.21 = 161,142.88/x
  3. Step 3: Cross multiply
    397,795.72x = 596,695.21 × 161,142.88
  4. Step 4: Simplify right side
    397,795.72x = 96,153,183,815.89
  5. Step 5: Solve for x
    x = 96,153,183,815.89/397,795.72
  6. Step 6: Final answer
    x = 241,714.98

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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.