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Finding the Fourth Proportional to 462,861.44, 694,042.40 and 210,003.92

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Solution

The fourth proportional to 462,861.44, 694,042.40 and 210,003.92 is: 314,892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,861.44 : 694,042.40 = 210,003.92 : x
  2. Step 2: Convert to fraction form
    462,861.44/694,042.40 = 210,003.92/x
  3. Step 3: Cross multiply
    462,861.44x = 694,042.40 × 210,003.92
  4. Step 4: Simplify right side
    462,861.44x = 145,751,624,646.21
  5. Step 5: Solve for x
    x = 145,751,624,646.21/462,861.44
  6. Step 6: Final answer
    x = 314,892.56

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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.