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Finding the Fourth Proportional to 397,301.46, 595,938.99 and 172,662.11

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Solution

The fourth proportional to 397,301.46, 595,938.99 and 172,662.11 is: 258,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,301.46 : 595,938.99 = 172,662.11 : x
  2. Step 2: Convert to fraction form
    397,301.46/595,938.99 = 172,662.11/x
  3. Step 3: Cross multiply
    397,301.46x = 595,938.99 × 172,662.11
  4. Step 4: Simplify right side
    397,301.46x = 102,896,085,728.16
  5. Step 5: Solve for x
    x = 102,896,085,728.16/397,301.46
  6. Step 6: Final answer
    x = 258,987.44

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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.