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Finding the Fourth Proportional to 496,400.39, 744,674.40 and 230,187.82

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Solution

The fourth proportional to 496,400.39, 744,674.40 and 230,187.82 is: 345,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,400.39 : 744,674.40 = 230,187.82 : x
  2. Step 2: Convert to fraction form
    496,400.39/744,674.40 = 230,187.82/x
  3. Step 3: Cross multiply
    496,400.39x = 744,674.40 × 230,187.82
  4. Step 4: Simplify right side
    496,400.39x = 171,414,976,745.81
  5. Step 5: Solve for x
    x = 171,414,976,745.81/496,400.39
  6. Step 6: Final answer
    x = 345,315.96

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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.