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Finding the Fourth Proportional to 299,927.56, 413,945.10 and 172,578.55

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Solution

The fourth proportional to 299,927.56, 413,945.10 and 172,578.55 is: 238,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,927.56 : 413,945.10 = 172,578.55 : x
  2. Step 2: Convert to fraction form
    299,927.56/413,945.10 = 172,578.55/x
  3. Step 3: Cross multiply
    299,927.56x = 413,945.10 × 172,578.55
  4. Step 4: Simplify right side
    299,927.56x = 71,438,045,137.61
  5. Step 5: Solve for x
    x = 71,438,045,137.61/299,927.56
  6. Step 6: Final answer
    x = 238,184.33

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