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Finding the Fourth Proportional to 414,282.24, 620,992.44 and 281,173.32

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Solution

The fourth proportional to 414,282.24, 620,992.44 and 281,173.32 is: 421,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,282.24 : 620,992.44 = 281,173.32 : x
  2. Step 2: Convert to fraction form
    414,282.24/620,992.44 = 281,173.32/x
  3. Step 3: Cross multiply
    414,282.24x = 620,992.44 × 281,173.32
  4. Step 4: Simplify right side
    414,282.24x = 174,606,506,049.70
  5. Step 5: Solve for x
    x = 174,606,506,049.70/414,282.24
  6. Step 6: Final answer
    x = 421,467.51

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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.