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Finding the Fourth Proportional to 299,949.59, 413,873.29 and 177,461.18

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Solution

The fourth proportional to 299,949.59, 413,873.29 and 177,461.18 is: 244,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,949.59 : 413,873.29 = 177,461.18 : x
  2. Step 2: Convert to fraction form
    299,949.59/413,873.29 = 177,461.18/x
  3. Step 3: Cross multiply
    299,949.59x = 413,873.29 × 177,461.18
  4. Step 4: Simplify right side
    299,949.59x = 73,446,442,413.88
  5. Step 5: Solve for x
    x = 73,446,442,413.88/299,949.59
  6. Step 6: Final answer
    x = 244,862.62

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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.