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Finding the Fourth Proportional to 397,309.96, 595,951.76 and 172,670.64

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Solution

The fourth proportional to 397,309.96, 595,951.76 and 172,670.64 is: 259,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,309.96 : 595,951.76 = 172,670.64 : x
  2. Step 2: Convert to fraction form
    397,309.96/595,951.76 = 172,670.64/x
  3. Step 3: Cross multiply
    397,309.96x = 595,951.76 × 172,670.64
  4. Step 4: Simplify right side
    397,309.96x = 102,903,371,808.33
  5. Step 5: Solve for x
    x = 102,903,371,808.33/397,309.96
  6. Step 6: Final answer
    x = 259,000.23

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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.