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Finding the Fourth Proportional to 397,310.22, 595,951.98 and 172,670.64

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Solution

The fourth proportional to 397,310.22, 595,951.98 and 172,670.64 is: 259,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,310.22 : 595,951.98 = 172,670.64 : x
  2. Step 2: Convert to fraction form
    397,310.22/595,951.98 = 172,670.64/x
  3. Step 3: Cross multiply
    397,310.22x = 595,951.98 × 172,670.64
  4. Step 4: Simplify right side
    397,310.22x = 102,903,409,795.87
  5. Step 5: Solve for x
    x = 102,903,409,795.87/397,310.22
  6. Step 6: Final answer
    x = 259,000.16

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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.