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Finding the Fourth Proportional to 293,668, 405,227.46 and 172,782.72

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Solution

The fourth proportional to 293,668, 405,227.46 and 172,782.72 is: 238,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,668 : 405,227.46 = 172,782.72 : x
  2. Step 2: Convert to fraction form
    293,668/405,227.46 = 172,782.72/x
  3. Step 3: Cross multiply
    293,668x = 405,227.46 × 172,782.72
  4. Step 4: Simplify right side
    293,668x = 70,016,302,757.49
  5. Step 5: Solve for x
    x = 70,016,302,757.49/293,668
  6. Step 6: Final answer
    x = 238,419.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.