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Finding the Fourth Proportional to 691,650.36, 954,333.14 and 419,861.34

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Solution

The fourth proportional to 691,650.36, 954,333.14 and 419,861.34 is: 579,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,650.36 : 954,333.14 = 419,861.34 : x
  2. Step 2: Convert to fraction form
    691,650.36/954,333.14 = 419,861.34/x
  3. Step 3: Cross multiply
    691,650.36x = 954,333.14 × 419,861.34
  4. Step 4: Simplify right side
    691,650.36x = 400,687,588,867.50
  5. Step 5: Solve for x
    x = 400,687,588,867.50/691,650.36
  6. Step 6: Final answer
    x = 579,321.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.