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Finding the Fourth Proportional to 406,846.05, 610,185.57 and 154,039.51

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Solution

The fourth proportional to 406,846.05, 610,185.57 and 154,039.51 is: 231,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,846.05 : 610,185.57 = 154,039.51 : x
  2. Step 2: Convert to fraction form
    406,846.05/610,185.57 = 154,039.51/x
  3. Step 3: Cross multiply
    406,846.05x = 610,185.57 × 154,039.51
  4. Step 4: Simplify right side
    406,846.05x = 93,992,686,211.87
  5. Step 5: Solve for x
    x = 93,992,686,211.87/406,846.05
  6. Step 6: Final answer
    x = 231,027.65

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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.