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Finding the Fourth Proportional to 964,409.82, 1,446,674.82 and 254,438.52

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Solution

The fourth proportional to 964,409.82, 1,446,674.82 and 254,438.52 is: 381,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,409.82 : 1,446,674.82 = 254,438.52 : x
  2. Step 2: Convert to fraction form
    964,409.82/1,446,674.82 = 254,438.52/x
  3. Step 3: Cross multiply
    964,409.82x = 1,446,674.82 × 254,438.52
  4. Step 4: Simplify right side
    964,409.82x = 368,089,800,122.07
  5. Step 5: Solve for x
    x = 368,089,800,122.07/964,409.82
  6. Step 6: Final answer
    x = 381,673.63

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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.