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Finding the Fourth Proportional to 475,850.75, 713,821.30 and 172,321.58

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Solution

The fourth proportional to 475,850.75, 713,821.30 and 172,321.58 is: 258,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,850.75 : 713,821.30 = 172,321.58 : x
  2. Step 2: Convert to fraction form
    475,850.75/713,821.30 = 172,321.58/x
  3. Step 3: Cross multiply
    475,850.75x = 713,821.30 × 172,321.58
  4. Step 4: Simplify right side
    475,850.75x = 123,006,815,607.40
  5. Step 5: Solve for x
    x = 123,006,815,607.40/475,850.75
  6. Step 6: Final answer
    x = 258,498.73

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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.