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Finding the Fourth Proportional to 461,175.97, 687,179.20 and 410,869.51

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Solution

The fourth proportional to 461,175.97, 687,179.20 and 410,869.51 is: 612,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,175.97 : 687,179.20 = 410,869.51 : x
  2. Step 2: Convert to fraction form
    461,175.97/687,179.20 = 410,869.51/x
  3. Step 3: Cross multiply
    461,175.97x = 687,179.20 × 410,869.51
  4. Step 4: Simplify right side
    461,175.97x = 282,340,981,186.19
  5. Step 5: Solve for x
    x = 282,340,981,186.19/461,175.97
  6. Step 6: Final answer
    x = 612,219.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.