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Finding the Fourth Proportional to 397,310.86, 595,952.93 and 172,671.32

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Solution

The fourth proportional to 397,310.86, 595,952.93 and 172,671.32 is: 259,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,310.86 : 595,952.93 = 172,671.32 : x
  2. Step 2: Convert to fraction form
    397,310.86/595,952.93 = 172,671.32/x
  3. Step 3: Cross multiply
    397,310.86x = 595,952.93 × 172,671.32
  4. Step 4: Simplify right side
    397,310.86x = 102,903,979,080.97
  5. Step 5: Solve for x
    x = 102,903,979,080.97/397,310.86
  6. Step 6: Final answer
    x = 259,001.17

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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.