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Finding the Fourth Proportional to 397,083.62, 595,290.83 and 172,274.91

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Solution

The fourth proportional to 397,083.62, 595,290.83 and 172,274.91 is: 258,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,083.62 : 595,290.83 = 172,274.91 : x
  2. Step 2: Convert to fraction form
    397,083.62/595,290.83 = 172,274.91/x
  3. Step 3: Cross multiply
    397,083.62x = 595,290.83 × 172,274.91
  4. Step 4: Simplify right side
    397,083.62x = 102,553,673,300.70
  5. Step 5: Solve for x
    x = 102,553,673,300.70/397,083.62
  6. Step 6: Final answer
    x = 258,267.20

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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.