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Finding the Fourth Proportional to 413,861.13, 620,477.01 and 214,054.29

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Solution

The fourth proportional to 413,861.13, 620,477.01 and 214,054.29 is: 320,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,861.13 : 620,477.01 = 214,054.29 : x
  2. Step 2: Convert to fraction form
    413,861.13/620,477.01 = 214,054.29/x
  3. Step 3: Cross multiply
    413,861.13x = 620,477.01 × 214,054.29
  4. Step 4: Simplify right side
    413,861.13x = 132,815,765,836.87
  5. Step 5: Solve for x
    x = 132,815,765,836.87/413,861.13
  6. Step 6: Final answer
    x = 320,918.68

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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.