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Finding the Fourth Proportional to 397,314.12, 595,957.79 and 172,674.58

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Solution

The fourth proportional to 397,314.12, 595,957.79 and 172,674.58 is: 259,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,314.12 : 595,957.79 = 172,674.58 : x
  2. Step 2: Convert to fraction form
    397,314.12/595,957.79 = 172,674.58/x
  3. Step 3: Cross multiply
    397,314.12x = 595,957.79 × 172,674.58
  4. Step 4: Simplify right side
    397,314.12x = 102,906,760,027.77
  5. Step 5: Solve for x
    x = 102,906,760,027.77/397,314.12
  6. Step 6: Final answer
    x = 259,006.05

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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.