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Finding the Fourth Proportional to 299,813.67, 449,592.48 and 173,541.07

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Solution

The fourth proportional to 299,813.67, 449,592.48 and 173,541.07 is: 260,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,813.67 : 449,592.48 = 173,541.07 : x
  2. Step 2: Convert to fraction form
    299,813.67/449,592.48 = 173,541.07/x
  3. Step 3: Cross multiply
    299,813.67x = 449,592.48 × 173,541.07
  4. Step 4: Simplify right side
    299,813.67x = 78,022,760,605.14
  5. Step 5: Solve for x
    x = 78,022,760,605.14/299,813.67
  6. Step 6: Final answer
    x = 260,237.50

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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.