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Finding the Fourth Proportional to 460,593.30, 689,905.80 and 381,861.30

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Solution

The fourth proportional to 460,593.30, 689,905.80 and 381,861.30 is: 571,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,593.30 : 689,905.80 = 381,861.30 : x
  2. Step 2: Convert to fraction form
    460,593.30/689,905.80 = 381,861.30/x
  3. Step 3: Cross multiply
    460,593.30x = 689,905.80 × 381,861.30
  4. Step 4: Simplify right side
    460,593.30x = 263,448,325,665.54
  5. Step 5: Solve for x
    x = 263,448,325,665.54/460,593.30
  6. Step 6: Final answer
    x = 571,976.03

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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.