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Finding the Fourth Proportional to 414,473.88, 620,897.25 and 214,924.71

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Solution

The fourth proportional to 414,473.88, 620,897.25 and 214,924.71 is: 321,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,473.88 : 620,897.25 = 214,924.71 : x
  2. Step 2: Convert to fraction form
    414,473.88/620,897.25 = 214,924.71/x
  3. Step 3: Cross multiply
    414,473.88x = 620,897.25 × 214,924.71
  4. Step 4: Simplify right side
    414,473.88x = 133,446,161,396.05
  5. Step 5: Solve for x
    x = 133,446,161,396.05/414,473.88
  6. Step 6: Final answer
    x = 321,965.19

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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.