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Finding the Fourth Proportional to 496,216.40, 744,324.60 and 259,631.60

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Solution

The fourth proportional to 496,216.40, 744,324.60 and 259,631.60 is: 389,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,216.40 : 744,324.60 = 259,631.60 : x
  2. Step 2: Convert to fraction form
    496,216.40/744,324.60 = 259,631.60/x
  3. Step 3: Cross multiply
    496,216.40x = 744,324.60 × 259,631.60
  4. Step 4: Simplify right side
    496,216.40x = 193,250,186,817.36
  5. Step 5: Solve for x
    x = 193,250,186,817.36/496,216.40
  6. Step 6: Final answer
    x = 389,447.40

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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.