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Finding the Fourth Proportional to 665,797.50, 998,947.80 and 399,743.64

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Solution

The fourth proportional to 665,797.50, 998,947.80 and 399,743.64 is: 599,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,797.50 : 998,947.80 = 399,743.64 : x
  2. Step 2: Convert to fraction form
    665,797.50/998,947.80 = 399,743.64/x
  3. Step 3: Cross multiply
    665,797.50x = 998,947.80 × 399,743.64
  4. Step 4: Simplify right side
    665,797.50x = 399,323,029,741.99
  5. Step 5: Solve for x
    x = 399,323,029,741.99/665,797.50
  6. Step 6: Final answer
    x = 599,766.49

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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.