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Finding the Fourth Proportional to 613,463.50, 920,279.09 and 214,045.62

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Solution

The fourth proportional to 613,463.50, 920,279.09 and 214,045.62 is: 321,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,463.50 : 920,279.09 = 214,045.62 : x
  2. Step 2: Convert to fraction form
    613,463.50/920,279.09 = 214,045.62/x
  3. Step 3: Cross multiply
    613,463.50x = 920,279.09 × 214,045.62
  4. Step 4: Simplify right side
    613,463.50x = 196,981,708,392.09
  5. Step 5: Solve for x
    x = 196,981,708,392.09/613,463.50
  6. Step 6: Final answer
    x = 321,097.68

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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.