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Finding the Fourth Proportional to 407,175.80, 610,815.33 and 154,544.49

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Solution

The fourth proportional to 407,175.80, 610,815.33 and 154,544.49 is: 231,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,175.80 : 610,815.33 = 154,544.49 : x
  2. Step 2: Convert to fraction form
    407,175.80/610,815.33 = 154,544.49/x
  3. Step 3: Cross multiply
    407,175.80x = 610,815.33 × 154,544.49
  4. Step 4: Simplify right side
    407,175.80x = 94,398,143,659.03
  5. Step 5: Solve for x
    x = 94,398,143,659.03/407,175.80
  6. Step 6: Final answer
    x = 231,836.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.