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Finding the Fourth Proportional to 397,884.29, 596,820.96 and 173,239.90

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Solution

The fourth proportional to 397,884.29, 596,820.96 and 173,239.90 is: 259,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,884.29 : 596,820.96 = 173,239.90 : x
  2. Step 2: Convert to fraction form
    397,884.29/596,820.96 = 173,239.90/x
  3. Step 3: Cross multiply
    397,884.29x = 596,820.96 × 173,239.90
  4. Step 4: Simplify right side
    397,884.29x = 103,393,201,936.25
  5. Step 5: Solve for x
    x = 103,393,201,936.25/397,884.29
  6. Step 6: Final answer
    x = 259,857.47

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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.